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Finding the Third Proportional to 10,870.88 and 16,331.63

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Solution

The third proportional to 10,870.88 and 16,331.63 is: 24,535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.88 : 16,331.63 = 16,331.63 : x
  2. Step 2: Convert to fraction form
    10,870.88/16,331.63 = 16,331.63/x
  3. Step 3: Cross multiply
    10,870.88x = 16,331.63 × 16,331.63
  4. Step 4: Simplify right side
    10,870.88x = 266,721,975.14
  5. Step 5: Solve for x
    x = 266,721,975.14/10,870.88
  6. Step 6: Final answer
    x = 24,535.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.