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Finding the Third Proportional to 10,963.13 and 24,008.63

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Solution

The third proportional to 10,963.13 and 24,008.63 is: 52,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.13 : 24,008.63 = 24,008.63 : x
  2. Step 2: Convert to fraction form
    10,963.13/24,008.63 = 24,008.63/x
  3. Step 3: Cross multiply
    10,963.13x = 24,008.63 × 24,008.63
  4. Step 4: Simplify right side
    10,963.13x = 576,414,074.39
  5. Step 5: Solve for x
    x = 576,414,074.39/10,963.13
  6. Step 6: Final answer
    x = 52,577.53

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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.