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Finding the Third Proportional to 5,317.31 and 5,788.13

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Solution

The third proportional to 5,317.31 and 5,788.13 is: 6,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.31 : 5,788.13 = 5,788.13 : x
  2. Step 2: Convert to fraction form
    5,317.31/5,788.13 = 5,788.13/x
  3. Step 3: Cross multiply
    5,317.31x = 5,788.13 × 5,788.13
  4. Step 4: Simplify right side
    5,317.31x = 33,502,391.02
  5. Step 5: Solve for x
    x = 33,502,391.02/5,317.31
  6. Step 6: Final answer
    x = 6,300.62

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.