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Finding the Third Proportional to 5,347.90 and 6,898.92

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Solution

The third proportional to 5,347.90 and 6,898.92 is: 8,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.90 : 6,898.92 = 6,898.92 : x
  2. Step 2: Convert to fraction form
    5,347.90/6,898.92 = 6,898.92/x
  3. Step 3: Cross multiply
    5,347.90x = 6,898.92 × 6,898.92
  4. Step 4: Simplify right side
    5,347.90x = 47,595,123.04
  5. Step 5: Solve for x
    x = 47,595,123.04/5,347.90
  6. Step 6: Final answer
    x = 8,899.78

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.