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Finding the Third Proportional to 28,294 and 59,432

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Solution

The third proportional to 28,294 and 59,432 is: 124,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,294 : 59,432 = 59,432 : x
  2. Step 2: Convert to fraction form
    28,294/59,432 = 59,432/x
  3. Step 3: Cross multiply
    28,294x = 59,432 × 59,432
  4. Step 4: Simplify right side
    28,294x = 3,532,162,624
  5. Step 5: Solve for x
    x = 3,532,162,624/28,294
  6. Step 6: Final answer
    x = 124,837.87

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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.