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Finding the Third Proportional to 3,470.25 and 5,083.13

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Solution

The third proportional to 3,470.25 and 5,083.13 is: 7,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.25 : 5,083.13 = 5,083.13 : x
  2. Step 2: Convert to fraction form
    3,470.25/5,083.13 = 5,083.13/x
  3. Step 3: Cross multiply
    3,470.25x = 5,083.13 × 5,083.13
  4. Step 4: Simplify right side
    3,470.25x = 25,838,159.77
  5. Step 5: Solve for x
    x = 25,838,159.77/3,470.25
  6. Step 6: Final answer
    x = 7,445.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.