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Finding the Third Proportional to 15,120 and 19,864.50

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Solution

The third proportional to 15,120 and 19,864.50 is: 26,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120 : 19,864.50 = 19,864.50 : x
  2. Step 2: Convert to fraction form
    15,120/19,864.50 = 19,864.50/x
  3. Step 3: Cross multiply
    15,120x = 19,864.50 × 19,864.50
  4. Step 4: Simplify right side
    15,120x = 394,598,360.25
  5. Step 5: Solve for x
    x = 394,598,360.25/15,120
  6. Step 6: Final answer
    x = 26,097.78

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.