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Finding the Third Proportional to 24,673.50 and 59,663.25

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Solution

The third proportional to 24,673.50 and 59,663.25 is: 144,272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,673.50 : 59,663.25 = 59,663.25 : x
  2. Step 2: Convert to fraction form
    24,673.50/59,663.25 = 59,663.25/x
  3. Step 3: Cross multiply
    24,673.50x = 59,663.25 × 59,663.25
  4. Step 4: Simplify right side
    24,673.50x = 3,559,703,400.56
  5. Step 5: Solve for x
    x = 3,559,703,400.56/24,673.50
  6. Step 6: Final answer
    x = 144,272.33

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.