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Finding the Third Proportional to 24,854.34 and 36,108.28

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Solution

The third proportional to 24,854.34 and 36,108.28 is: 52,457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.34 : 36,108.28 = 36,108.28 : x
  2. Step 2: Convert to fraction form
    24,854.34/36,108.28 = 36,108.28/x
  3. Step 3: Cross multiply
    24,854.34x = 36,108.28 × 36,108.28
  4. Step 4: Simplify right side
    24,854.34x = 1,303,807,974.83
  5. Step 5: Solve for x
    x = 1,303,807,974.83/24,854.34
  6. Step 6: Final answer
    x = 52,457.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.