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Finding the Third Proportional to 4,358.25 and 5,036.63

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Solution

The third proportional to 4,358.25 and 5,036.63 is: 5,820.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358.25 : 5,036.63 = 5,036.63 : x
  2. Step 2: Convert to fraction form
    4,358.25/5,036.63 = 5,036.63/x
  3. Step 3: Cross multiply
    4,358.25x = 5,036.63 × 5,036.63
  4. Step 4: Simplify right side
    4,358.25x = 25,367,591.39
  5. Step 5: Solve for x
    x = 25,367,591.39/4,358.25
  6. Step 6: Final answer
    x = 5,820.59

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.