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Finding the Third Proportional to 3,590.25 and 5,139.75

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Solution

The third proportional to 3,590.25 and 5,139.75 is: 7,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.25 : 5,139.75 = 5,139.75 : x
  2. Step 2: Convert to fraction form
    3,590.25/5,139.75 = 5,139.75/x
  3. Step 3: Cross multiply
    3,590.25x = 5,139.75 × 5,139.75
  4. Step 4: Simplify right side
    3,590.25x = 26,417,030.06
  5. Step 5: Solve for x
    x = 26,417,030.06/3,590.25
  6. Step 6: Final answer
    x = 7,357.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.