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Finding the Third Proportional to 15,718.50 and 24,124.50

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Solution

The third proportional to 15,718.50 and 24,124.50 is: 37,025.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,718.50 : 24,124.50 = 24,124.50 : x
  2. Step 2: Convert to fraction form
    15,718.50/24,124.50 = 24,124.50/x
  3. Step 3: Cross multiply
    15,718.50x = 24,124.50 × 24,124.50
  4. Step 4: Simplify right side
    15,718.50x = 581,991,500.25
  5. Step 5: Solve for x
    x = 581,991,500.25/15,718.50
  6. Step 6: Final answer
    x = 37,025.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.