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Finding the Third Proportional to 18,525.38 and 40,581

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Solution

The third proportional to 18,525.38 and 40,581 is: 88,895.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,525.38 : 40,581 = 40,581 : x
  2. Step 2: Convert to fraction form
    18,525.38/40,581 = 40,581/x
  3. Step 3: Cross multiply
    18,525.38x = 40,581 × 40,581
  4. Step 4: Simplify right side
    18,525.38x = 1,646,817,561
  5. Step 5: Solve for x
    x = 1,646,817,561/18,525.38
  6. Step 6: Final answer
    x = 88,895.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.