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Finding the Third Proportional to 4,671.42 and 5,127.05

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Solution

The third proportional to 4,671.42 and 5,127.05 is: 5,627.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.42 : 5,127.05 = 5,127.05 : x
  2. Step 2: Convert to fraction form
    4,671.42/5,127.05 = 5,127.05/x
  3. Step 3: Cross multiply
    4,671.42x = 5,127.05 × 5,127.05
  4. Step 4: Simplify right side
    4,671.42x = 26,286,609.66
  5. Step 5: Solve for x
    x = 26,286,609.66/4,671.42
  6. Step 6: Final answer
    x = 5,627.11

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.