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Finding the Third Proportional to 53,341.88 and 71,577

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Solution

The third proportional to 53,341.88 and 71,577 is: 96,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,341.88 : 71,577 = 71,577 : x
  2. Step 2: Convert to fraction form
    53,341.88/71,577 = 71,577/x
  3. Step 3: Cross multiply
    53,341.88x = 71,577 × 71,577
  4. Step 4: Simplify right side
    53,341.88x = 5,123,266,929
  5. Step 5: Solve for x
    x = 5,123,266,929/53,341.88
  6. Step 6: Final answer
    x = 96,045.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.