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Finding the Third Proportional to 10,709.81 and 16,001.72

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Solution

The third proportional to 10,709.81 and 16,001.72 is: 23,908.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.81 : 16,001.72 = 16,001.72 : x
  2. Step 2: Convert to fraction form
    10,709.81/16,001.72 = 16,001.72/x
  3. Step 3: Cross multiply
    10,709.81x = 16,001.72 × 16,001.72
  4. Step 4: Simplify right side
    10,709.81x = 256,055,002.95
  5. Step 5: Solve for x
    x = 256,055,002.95/10,709.81
  6. Step 6: Final answer
    x = 23,908.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.