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Finding the Third Proportional to 24,672.09 and 36,461.39

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Solution

The third proportional to 24,672.09 and 36,461.39 is: 53,884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672.09 : 36,461.39 = 36,461.39 : x
  2. Step 2: Convert to fraction form
    24,672.09/36,461.39 = 36,461.39/x
  3. Step 3: Cross multiply
    24,672.09x = 36,461.39 × 36,461.39
  4. Step 4: Simplify right side
    24,672.09x = 1,329,433,006.31
  5. Step 5: Solve for x
    x = 1,329,433,006.31/24,672.09
  6. Step 6: Final answer
    x = 53,884.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.