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Finding the Third Proportional to 22,878.38 and 34,757.63

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Solution

The third proportional to 22,878.38 and 34,757.63 is: 52,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,878.38 : 34,757.63 = 34,757.63 : x
  2. Step 2: Convert to fraction form
    22,878.38/34,757.63 = 34,757.63/x
  3. Step 3: Cross multiply
    22,878.38x = 34,757.63 × 34,757.63
  4. Step 4: Simplify right side
    22,878.38x = 1,208,092,495.64
  5. Step 5: Solve for x
    x = 1,208,092,495.64/22,878.38
  6. Step 6: Final answer
    x = 52,805.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.