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Finding the Third Proportional to 28,315 and 59,384

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Solution

The third proportional to 28,315 and 59,384 is: 124,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,315 : 59,384 = 59,384 : x
  2. Step 2: Convert to fraction form
    28,315/59,384 = 59,384/x
  3. Step 3: Cross multiply
    28,315x = 59,384 × 59,384
  4. Step 4: Simplify right side
    28,315x = 3,526,459,456
  5. Step 5: Solve for x
    x = 3,526,459,456/28,315
  6. Step 6: Final answer
    x = 124,543.86

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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.