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Finding the Third Proportional to 5,266.13 and 7,927.31

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Solution

The third proportional to 5,266.13 and 7,927.31 is: 11,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.13 : 7,927.31 = 7,927.31 : x
  2. Step 2: Convert to fraction form
    5,266.13/7,927.31 = 7,927.31/x
  3. Step 3: Cross multiply
    5,266.13x = 7,927.31 × 7,927.31
  4. Step 4: Simplify right side
    5,266.13x = 62,842,283.47
  5. Step 5: Solve for x
    x = 62,842,283.47/5,266.13
  6. Step 6: Final answer
    x = 11,933.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.