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Finding the Third Proportional to 9,754.17 and 16,041.80

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Solution

The third proportional to 9,754.17 and 16,041.80 is: 26,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.17 : 16,041.80 = 16,041.80 : x
  2. Step 2: Convert to fraction form
    9,754.17/16,041.80 = 16,041.80/x
  3. Step 3: Cross multiply
    9,754.17x = 16,041.80 × 16,041.80
  4. Step 4: Simplify right side
    9,754.17x = 257,339,246.98
  5. Step 5: Solve for x
    x = 257,339,246.98/9,754.17
  6. Step 6: Final answer
    x = 26,382.48

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.