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Finding the Third Proportional to 53,891.75 and 72,498.75

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Solution

The third proportional to 53,891.75 and 72,498.75 is: 97,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,891.75 : 72,498.75 = 72,498.75 : x
  2. Step 2: Convert to fraction form
    53,891.75/72,498.75 = 72,498.75/x
  3. Step 3: Cross multiply
    53,891.75x = 72,498.75 × 72,498.75
  4. Step 4: Simplify right side
    53,891.75x = 5,256,068,751.56
  5. Step 5: Solve for x
    x = 5,256,068,751.56/53,891.75
  6. Step 6: Final answer
    x = 97,530.12

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.