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Finding the Third Proportional to 9,849.66 and 14,956.88

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Solution

The third proportional to 9,849.66 and 14,956.88 is: 22,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.66 : 14,956.88 = 14,956.88 : x
  2. Step 2: Convert to fraction form
    9,849.66/14,956.88 = 14,956.88/x
  3. Step 3: Cross multiply
    9,849.66x = 14,956.88 × 14,956.88
  4. Step 4: Simplify right side
    9,849.66x = 223,708,109.77
  5. Step 5: Solve for x
    x = 223,708,109.77/9,849.66
  6. Step 6: Final answer
    x = 22,712.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.