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Finding the Third Proportional to 6,948.64 and 15,155.09

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Solution

The third proportional to 6,948.64 and 15,155.09 is: 33,053.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.64 : 15,155.09 = 15,155.09 : x
  2. Step 2: Convert to fraction form
    6,948.64/15,155.09 = 15,155.09/x
  3. Step 3: Cross multiply
    6,948.64x = 15,155.09 × 15,155.09
  4. Step 4: Simplify right side
    6,948.64x = 229,676,846.22
  5. Step 5: Solve for x
    x = 229,676,846.22/6,948.64
  6. Step 6: Final answer
    x = 33,053.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.