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Finding the Third Proportional to 18,581 and 40,064.50

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Solution

The third proportional to 18,581 and 40,064.50 is: 86,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,581 : 40,064.50 = 40,064.50 : x
  2. Step 2: Convert to fraction form
    18,581/40,064.50 = 40,064.50/x
  3. Step 3: Cross multiply
    18,581x = 40,064.50 × 40,064.50
  4. Step 4: Simplify right side
    18,581x = 1,605,164,160.25
  5. Step 5: Solve for x
    x = 1,605,164,160.25/18,581
  6. Step 6: Final answer
    x = 86,387.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.