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Finding the Third Proportional to 7,926 and 12,552

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Solution

The third proportional to 7,926 and 12,552 is: 19,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926 : 12,552 = 12,552 : x
  2. Step 2: Convert to fraction form
    7,926/12,552 = 12,552/x
  3. Step 3: Cross multiply
    7,926x = 12,552 × 12,552
  4. Step 4: Simplify right side
    7,926x = 157,552,704
  5. Step 5: Solve for x
    x = 157,552,704/7,926
  6. Step 6: Final answer
    x = 19,877.96

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.