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Finding the Third Proportional to 28,404 and 59,746

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Solution

The third proportional to 28,404 and 59,746 is: 125,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,404 : 59,746 = 59,746 : x
  2. Step 2: Convert to fraction form
    28,404/59,746 = 59,746/x
  3. Step 3: Cross multiply
    28,404x = 59,746 × 59,746
  4. Step 4: Simplify right side
    28,404x = 3,569,584,516
  5. Step 5: Solve for x
    x = 3,569,584,516/28,404
  6. Step 6: Final answer
    x = 125,671.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.