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Finding the Third Proportional to 28,314 and 59,724

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Solution

The third proportional to 28,314 and 59,724 is: 125,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,314 : 59,724 = 59,724 : x
  2. Step 2: Convert to fraction form
    28,314/59,724 = 59,724/x
  3. Step 3: Cross multiply
    28,314x = 59,724 × 59,724
  4. Step 4: Simplify right side
    28,314x = 3,566,956,176
  5. Step 5: Solve for x
    x = 3,566,956,176/28,314
  6. Step 6: Final answer
    x = 125,978.53

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.