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Finding the Third Proportional to 15,117.75 and 24,271.31

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Solution

The third proportional to 15,117.75 and 24,271.31 is: 38,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,117.75 : 24,271.31 = 24,271.31 : x
  2. Step 2: Convert to fraction form
    15,117.75/24,271.31 = 24,271.31/x
  3. Step 3: Cross multiply
    15,117.75x = 24,271.31 × 24,271.31
  4. Step 4: Simplify right side
    15,117.75x = 589,096,610.47
  5. Step 5: Solve for x
    x = 589,096,610.47/15,117.75
  6. Step 6: Final answer
    x = 38,967.21

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.