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Finding the Third Proportional to 4,842.28 and 6,898.92

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Solution

The third proportional to 4,842.28 and 6,898.92 is: 9,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.28 : 6,898.92 = 6,898.92 : x
  2. Step 2: Convert to fraction form
    4,842.28/6,898.92 = 6,898.92/x
  3. Step 3: Cross multiply
    4,842.28x = 6,898.92 × 6,898.92
  4. Step 4: Simplify right side
    4,842.28x = 47,595,123.04
  5. Step 5: Solve for x
    x = 47,595,123.04/4,842.28
  6. Step 6: Final answer
    x = 9,829.07

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.