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Finding the Third Proportional to 6,929.30 and 15,200.58

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Solution

The third proportional to 6,929.30 and 15,200.58 is: 33,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.30 : 15,200.58 = 15,200.58 : x
  2. Step 2: Convert to fraction form
    6,929.30/15,200.58 = 15,200.58/x
  3. Step 3: Cross multiply
    6,929.30x = 15,200.58 × 15,200.58
  4. Step 4: Simplify right side
    6,929.30x = 231,057,575.33
  5. Step 5: Solve for x
    x = 231,057,575.33/6,929.30
  6. Step 6: Final answer
    x = 33,345.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.