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Finding the Third Proportional to 2,417.34 and 4,901.34

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Solution

The third proportional to 2,417.34 and 4,901.34 is: 9,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.34 : 4,901.34 = 4,901.34 : x
  2. Step 2: Convert to fraction form
    2,417.34/4,901.34 = 4,901.34/x
  3. Step 3: Cross multiply
    2,417.34x = 4,901.34 × 4,901.34
  4. Step 4: Simplify right side
    2,417.34x = 24,023,170.56
  5. Step 5: Solve for x
    x = 24,023,170.56/2,417.34
  6. Step 6: Final answer
    x = 9,937.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.