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Finding the Third Proportional to 9,964.13 and 14,753.81

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Solution

The third proportional to 9,964.13 and 14,753.81 is: 21,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.13 : 14,753.81 = 14,753.81 : x
  2. Step 2: Convert to fraction form
    9,964.13/14,753.81 = 14,753.81/x
  3. Step 3: Cross multiply
    9,964.13x = 14,753.81 × 14,753.81
  4. Step 4: Simplify right side
    9,964.13x = 217,674,983.29
  5. Step 5: Solve for x
    x = 217,674,983.29/9,964.13
  6. Step 6: Final answer
    x = 21,845.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.