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Finding the Third Proportional to 46,524 and 59,742

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Solution

The third proportional to 46,524 and 59,742 is: 76,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,524 : 59,742 = 59,742 : x
  2. Step 2: Convert to fraction form
    46,524/59,742 = 59,742/x
  3. Step 3: Cross multiply
    46,524x = 59,742 × 59,742
  4. Step 4: Simplify right side
    46,524x = 3,569,106,564
  5. Step 5: Solve for x
    x = 3,569,106,564/46,524
  6. Step 6: Final answer
    x = 76,715.38

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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.