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Finding the Third Proportional to 5,200.45 and 6,948.91

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Solution

The third proportional to 5,200.45 and 6,948.91 is: 9,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.45 : 6,948.91 = 6,948.91 : x
  2. Step 2: Convert to fraction form
    5,200.45/6,948.91 = 6,948.91/x
  3. Step 3: Cross multiply
    5,200.45x = 6,948.91 × 6,948.91
  4. Step 4: Simplify right side
    5,200.45x = 48,287,406.65
  5. Step 5: Solve for x
    x = 48,287,406.65/5,200.45
  6. Step 6: Final answer
    x = 9,285.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.