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Finding the Third Proportional to 46,527 and 59,745

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Solution

The third proportional to 46,527 and 59,745 is: 76,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,527 : 59,745 = 59,745 : x
  2. Step 2: Convert to fraction form
    46,527/59,745 = 59,745/x
  3. Step 3: Cross multiply
    46,527x = 59,745 × 59,745
  4. Step 4: Simplify right side
    46,527x = 3,569,465,025
  5. Step 5: Solve for x
    x = 3,569,465,025/46,527
  6. Step 6: Final answer
    x = 76,718.14

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.