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Finding the Third Proportional to 28,314 and 59,382

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Solution

The third proportional to 28,314 and 59,382 is: 124,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,314 : 59,382 = 59,382 : x
  2. Step 2: Convert to fraction form
    28,314/59,382 = 59,382/x
  3. Step 3: Cross multiply
    28,314x = 59,382 × 59,382
  4. Step 4: Simplify right side
    28,314x = 3,526,221,924
  5. Step 5: Solve for x
    x = 3,526,221,924/28,314
  6. Step 6: Final answer
    x = 124,539.87

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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.