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Finding the Third Proportional to 23,000.52 and 46,846.79

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Solution

The third proportional to 23,000.52 and 46,846.79 is: 95,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000.52 : 46,846.79 = 46,846.79 : x
  2. Step 2: Convert to fraction form
    23,000.52/46,846.79 = 46,846.79/x
  3. Step 3: Cross multiply
    23,000.52x = 46,846.79 × 46,846.79
  4. Step 4: Simplify right side
    23,000.52x = 2,194,622,011.46
  5. Step 5: Solve for x
    x = 2,194,622,011.46/23,000.52
  6. Step 6: Final answer
    x = 95,416.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.