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Finding the Third Proportional to 10,681.56 and 19,927.90

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Solution

The third proportional to 10,681.56 and 19,927.90 is: 37,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.56 : 19,927.90 = 19,927.90 : x
  2. Step 2: Convert to fraction form
    10,681.56/19,927.90 = 19,927.90/x
  3. Step 3: Cross multiply
    10,681.56x = 19,927.90 × 19,927.90
  4. Step 4: Simplify right side
    10,681.56x = 397,121,136.14
  5. Step 5: Solve for x
    x = 397,121,136.14/10,681.56
  6. Step 6: Final answer
    x = 37,178.20

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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.