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Finding the Third Proportional to 5,959.83 and 9,435.23

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Solution

The third proportional to 5,959.83 and 9,435.23 is: 14,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.83 : 9,435.23 = 9,435.23 : x
  2. Step 2: Convert to fraction form
    5,959.83/9,435.23 = 9,435.23/x
  3. Step 3: Cross multiply
    5,959.83x = 9,435.23 × 9,435.23
  4. Step 4: Simplify right side
    5,959.83x = 89,023,647.71
  5. Step 5: Solve for x
    x = 89,023,647.71/5,959.83
  6. Step 6: Final answer
    x = 14,937.28

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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.