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Finding the Third Proportional to 24,528.66 and 52,006.22

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Solution

The third proportional to 24,528.66 and 52,006.22 is: 110,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,528.66 : 52,006.22 = 52,006.22 : x
  2. Step 2: Convert to fraction form
    24,528.66/52,006.22 = 52,006.22/x
  3. Step 3: Cross multiply
    24,528.66x = 52,006.22 × 52,006.22
  4. Step 4: Simplify right side
    24,528.66x = 2,704,646,788.67
  5. Step 5: Solve for x
    x = 2,704,646,788.67/24,528.66
  6. Step 6: Final answer
    x = 110,264.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.