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Finding the Third Proportional to 46,032.75 and 62,487

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Solution

The third proportional to 46,032.75 and 62,487 is: 84,822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,032.75 : 62,487 = 62,487 : x
  2. Step 2: Convert to fraction form
    46,032.75/62,487 = 62,487/x
  3. Step 3: Cross multiply
    46,032.75x = 62,487 × 62,487
  4. Step 4: Simplify right side
    46,032.75x = 3,904,625,169
  5. Step 5: Solve for x
    x = 3,904,625,169/46,032.75
  6. Step 6: Final answer
    x = 84,822.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.