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Finding the Third Proportional to 24,018.82 and 34,215.22

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Solution

The third proportional to 24,018.82 and 34,215.22 is: 48,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,018.82 : 34,215.22 = 34,215.22 : x
  2. Step 2: Convert to fraction form
    24,018.82/34,215.22 = 34,215.22/x
  3. Step 3: Cross multiply
    24,018.82x = 34,215.22 × 34,215.22
  4. Step 4: Simplify right side
    24,018.82x = 1,170,681,461.42
  5. Step 5: Solve for x
    x = 1,170,681,461.42/24,018.82
  6. Step 6: Final answer
    x = 48,740.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.