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Finding the Third Proportional to 12,463 and 21,502.50

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Solution

The third proportional to 12,463 and 21,502.50 is: 37,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463 : 21,502.50 = 21,502.50 : x
  2. Step 2: Convert to fraction form
    12,463/21,502.50 = 21,502.50/x
  3. Step 3: Cross multiply
    12,463x = 21,502.50 × 21,502.50
  4. Step 4: Simplify right side
    12,463x = 462,357,506.25
  5. Step 5: Solve for x
    x = 462,357,506.25/12,463
  6. Step 6: Final answer
    x = 37,098.41

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These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.