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Finding the Third Proportional to 9,754.17 and 14,948.30

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Solution

The third proportional to 9,754.17 and 14,948.30 is: 22,908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.17 : 14,948.30 = 14,948.30 : x
  2. Step 2: Convert to fraction form
    9,754.17/14,948.30 = 14,948.30/x
  3. Step 3: Cross multiply
    9,754.17x = 14,948.30 × 14,948.30
  4. Step 4: Simplify right side
    9,754.17x = 223,451,579.46
  5. Step 5: Solve for x
    x = 223,451,579.46/9,754.17
  6. Step 6: Final answer
    x = 22,908.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.