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Finding the Third Proportional to 34,809.75 and 46,507.92

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Solution

The third proportional to 34,809.75 and 46,507.92 is: 62,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,809.75 : 46,507.92 = 46,507.92 : x
  2. Step 2: Convert to fraction form
    34,809.75/46,507.92 = 46,507.92/x
  3. Step 3: Cross multiply
    34,809.75x = 46,507.92 × 46,507.92
  4. Step 4: Simplify right side
    34,809.75x = 2,162,986,797.13
  5. Step 5: Solve for x
    x = 2,162,986,797.13/34,809.75
  6. Step 6: Final answer
    x = 62,137.38

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.