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Finding the Third Proportional to 6,953.98 and 15,291.91

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Solution

The third proportional to 6,953.98 and 15,291.91 is: 33,627.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.98 : 15,291.91 = 15,291.91 : x
  2. Step 2: Convert to fraction form
    6,953.98/15,291.91 = 15,291.91/x
  3. Step 3: Cross multiply
    6,953.98x = 15,291.91 × 15,291.91
  4. Step 4: Simplify right side
    6,953.98x = 233,842,635.69
  5. Step 5: Solve for x
    x = 233,842,635.69/6,953.98
  6. Step 6: Final answer
    x = 33,627.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.