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Finding the Third Proportional to 10,204.13 and 14,956.88

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Solution

The third proportional to 10,204.13 and 14,956.88 is: 21,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.13 : 14,956.88 = 14,956.88 : x
  2. Step 2: Convert to fraction form
    10,204.13/14,956.88 = 14,956.88/x
  3. Step 3: Cross multiply
    10,204.13x = 14,956.88 × 14,956.88
  4. Step 4: Simplify right side
    10,204.13x = 223,708,109.77
  5. Step 5: Solve for x
    x = 223,708,109.77/10,204.13
  6. Step 6: Final answer
    x = 21,923.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.