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Finding the Third Proportional to 4,442.34 and 5,657.34

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Solution

The third proportional to 4,442.34 and 5,657.34 is: 7,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.34 : 5,657.34 = 5,657.34 : x
  2. Step 2: Convert to fraction form
    4,442.34/5,657.34 = 5,657.34/x
  3. Step 3: Cross multiply
    4,442.34x = 5,657.34 × 5,657.34
  4. Step 4: Simplify right side
    4,442.34x = 32,005,538.31
  5. Step 5: Solve for x
    x = 32,005,538.31/4,442.34
  6. Step 6: Final answer
    x = 7,204.65

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.