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Finding the Third Proportional to 40,581 and 88,543.13

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Solution

The third proportional to 40,581 and 88,543.13 is: 193,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,581 : 88,543.13 = 88,543.13 : x
  2. Step 2: Convert to fraction form
    40,581/88,543.13 = 88,543.13/x
  3. Step 3: Cross multiply
    40,581x = 88,543.13 × 88,543.13
  4. Step 4: Simplify right side
    40,581x = 7,839,884,984.77
  5. Step 5: Solve for x
    x = 7,839,884,984.77/40,581
  6. Step 6: Final answer
    x = 193,191.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.