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Finding the Third Proportional to 28,382 and 59,704

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Solution

The third proportional to 28,382 and 59,704 is: 125,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,382 : 59,704 = 59,704 : x
  2. Step 2: Convert to fraction form
    28,382/59,704 = 59,704/x
  3. Step 3: Cross multiply
    28,382x = 59,704 × 59,704
  4. Step 4: Simplify right side
    28,382x = 3,564,567,616
  5. Step 5: Solve for x
    x = 3,564,567,616/28,382
  6. Step 6: Final answer
    x = 125,592.55

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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.