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Finding the Third Proportional to 5,927.98 and 7,929.25

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Solution

The third proportional to 5,927.98 and 7,929.25 is: 10,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.98 : 7,929.25 = 7,929.25 : x
  2. Step 2: Convert to fraction form
    5,927.98/7,929.25 = 7,929.25/x
  3. Step 3: Cross multiply
    5,927.98x = 7,929.25 × 7,929.25
  4. Step 4: Simplify right side
    5,927.98x = 62,872,943.62
  5. Step 5: Solve for x
    x = 62,872,943.62/5,927.98
  6. Step 6: Final answer
    x = 10,606.14

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.