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Finding the Third Proportional to 24,264.38 and 51,444.38

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Solution

The third proportional to 24,264.38 and 51,444.38 is: 109,070.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,264.38 : 51,444.38 = 51,444.38 : x
  2. Step 2: Convert to fraction form
    24,264.38/51,444.38 = 51,444.38/x
  3. Step 3: Cross multiply
    24,264.38x = 51,444.38 × 51,444.38
  4. Step 4: Simplify right side
    24,264.38x = 2,646,523,719.14
  5. Step 5: Solve for x
    x = 2,646,523,719.14/24,264.38
  6. Step 6: Final answer
    x = 109,070.34

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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.