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Finding the Third Proportional to 7,929 and 9,045

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Solution

The third proportional to 7,929 and 9,045 is: 10,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929 : 9,045 = 9,045 : x
  2. Step 2: Convert to fraction form
    7,929/9,045 = 9,045/x
  3. Step 3: Cross multiply
    7,929x = 9,045 × 9,045
  4. Step 4: Simplify right side
    7,929x = 81,812,025
  5. Step 5: Solve for x
    x = 81,812,025/7,929
  6. Step 6: Final answer
    x = 10,318.08

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.