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Finding the Third Proportional to 9,742.36 and 14,767.31

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Solution

The third proportional to 9,742.36 and 14,767.31 is: 22,384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.36 : 14,767.31 = 14,767.31 : x
  2. Step 2: Convert to fraction form
    9,742.36/14,767.31 = 14,767.31/x
  3. Step 3: Cross multiply
    9,742.36x = 14,767.31 × 14,767.31
  4. Step 4: Simplify right side
    9,742.36x = 218,073,518.47
  5. Step 5: Solve for x
    x = 218,073,518.47/9,742.36
  6. Step 6: Final answer
    x = 22,384.06

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