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Finding the Third Proportional to 46,920 and 63,742

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Solution

The third proportional to 46,920 and 63,742 is: 86,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,920 : 63,742 = 63,742 : x
  2. Step 2: Convert to fraction form
    46,920/63,742 = 63,742/x
  3. Step 3: Cross multiply
    46,920x = 63,742 × 63,742
  4. Step 4: Simplify right side
    46,920x = 4,063,042,564
  5. Step 5: Solve for x
    x = 4,063,042,564/46,920
  6. Step 6: Final answer
    x = 86,595.11

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