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Finding the Third Proportional to 15,601.50 and 40,581

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Solution

The third proportional to 15,601.50 and 40,581 is: 105,555.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,601.50 : 40,581 = 40,581 : x
  2. Step 2: Convert to fraction form
    15,601.50/40,581 = 40,581/x
  3. Step 3: Cross multiply
    15,601.50x = 40,581 × 40,581
  4. Step 4: Simplify right side
    15,601.50x = 1,646,817,561
  5. Step 5: Solve for x
    x = 1,646,817,561/15,601.50
  6. Step 6: Final answer
    x = 105,555.08

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.