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Finding the Third Proportional to 15,891.75 and 23,566.13

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Solution

The third proportional to 15,891.75 and 23,566.13 is: 34,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.75 : 23,566.13 = 23,566.13 : x
  2. Step 2: Convert to fraction form
    15,891.75/23,566.13 = 23,566.13/x
  3. Step 3: Cross multiply
    15,891.75x = 23,566.13 × 23,566.13
  4. Step 4: Simplify right side
    15,891.75x = 555,362,247.52
  5. Step 5: Solve for x
    x = 555,362,247.52/15,891.75
  6. Step 6: Final answer
    x = 34,946.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.