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Finding the Third Proportional to 53,335.13 and 71,566.88

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Solution

The third proportional to 53,335.13 and 71,566.88 is: 96,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,335.13 : 71,566.88 = 71,566.88 : x
  2. Step 2: Convert to fraction form
    53,335.13/71,566.88 = 71,566.88/x
  3. Step 3: Cross multiply
    53,335.13x = 71,566.88 × 71,566.88
  4. Step 4: Simplify right side
    53,335.13x = 5,121,817,597.27
  5. Step 5: Solve for x
    x = 5,121,817,597.27/53,335.13
  6. Step 6: Final answer
    x = 96,030.85

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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.