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Finding the Third Proportional to 24,332.63 and 52,462.13

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Solution

The third proportional to 24,332.63 and 52,462.13 is: 113,110.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,332.63 : 52,462.13 = 52,462.13 : x
  2. Step 2: Convert to fraction form
    24,332.63/52,462.13 = 52,462.13/x
  3. Step 3: Cross multiply
    24,332.63x = 52,462.13 × 52,462.13
  4. Step 4: Simplify right side
    24,332.63x = 2,752,274,559.52
  5. Step 5: Solve for x
    x = 2,752,274,559.52/24,332.63
  6. Step 6: Final answer
    x = 113,110.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.