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Finding the Third Proportional to 21,136.50 and 38,854.50

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Solution

The third proportional to 21,136.50 and 38,854.50 is: 71,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136.50 : 38,854.50 = 38,854.50 : x
  2. Step 2: Convert to fraction form
    21,136.50/38,854.50 = 38,854.50/x
  3. Step 3: Cross multiply
    21,136.50x = 38,854.50 × 38,854.50
  4. Step 4: Simplify right side
    21,136.50x = 1,509,672,170.25
  5. Step 5: Solve for x
    x = 1,509,672,170.25/21,136.50
  6. Step 6: Final answer
    x = 71,424.89

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.