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Finding the Third Proportional to 24,146.86 and 36,938.11

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Solution

The third proportional to 24,146.86 and 36,938.11 is: 56,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146.86 : 36,938.11 = 36,938.11 : x
  2. Step 2: Convert to fraction form
    24,146.86/36,938.11 = 36,938.11/x
  3. Step 3: Cross multiply
    24,146.86x = 36,938.11 × 36,938.11
  4. Step 4: Simplify right side
    24,146.86x = 1,364,423,924.20
  5. Step 5: Solve for x
    x = 1,364,423,924.20/24,146.86
  6. Step 6: Final answer
    x = 56,505.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.