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Finding the Third Proportional to 24,436.69 and 53,545.43

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Solution

The third proportional to 24,436.69 and 53,545.43 is: 117,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,436.69 : 53,545.43 = 53,545.43 : x
  2. Step 2: Convert to fraction form
    24,436.69/53,545.43 = 53,545.43/x
  3. Step 3: Cross multiply
    24,436.69x = 53,545.43 × 53,545.43
  4. Step 4: Simplify right side
    24,436.69x = 2,867,113,040.42
  5. Step 5: Solve for x
    x = 2,867,113,040.42/24,436.69
  6. Step 6: Final answer
    x = 117,328.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.