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Finding the Third Proportional to 5,162.91 and 6,929.30

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Solution

The third proportional to 5,162.91 and 6,929.30 is: 9,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.91 : 6,929.30 = 6,929.30 : x
  2. Step 2: Convert to fraction form
    5,162.91/6,929.30 = 6,929.30/x
  3. Step 3: Cross multiply
    5,162.91x = 6,929.30 × 6,929.30
  4. Step 4: Simplify right side
    5,162.91x = 48,015,155.18
  5. Step 5: Solve for x
    x = 48,015,155.18/5,162.91
  6. Step 6: Final answer
    x = 9,300.02

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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.