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Finding the Third Proportional to 9,870.47 and 15,510.38

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Solution

The third proportional to 9,870.47 and 15,510.38 is: 24,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.47 : 15,510.38 = 15,510.38 : x
  2. Step 2: Convert to fraction form
    9,870.47/15,510.38 = 15,510.38/x
  3. Step 3: Cross multiply
    9,870.47x = 15,510.38 × 15,510.38
  4. Step 4: Simplify right side
    9,870.47x = 240,571,732.64
  5. Step 5: Solve for x
    x = 240,571,732.64/9,870.47
  6. Step 6: Final answer
    x = 24,372.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.