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Finding the Third Proportional to 10,107 and 23,606.50

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Solution

The third proportional to 10,107 and 23,606.50 is: 55,136.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107 : 23,606.50 = 23,606.50 : x
  2. Step 2: Convert to fraction form
    10,107/23,606.50 = 23,606.50/x
  3. Step 3: Cross multiply
    10,107x = 23,606.50 × 23,606.50
  4. Step 4: Simplify right side
    10,107x = 557,266,842.25
  5. Step 5: Solve for x
    x = 557,266,842.25/10,107
  6. Step 6: Final answer
    x = 55,136.72

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.