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Finding the Third Proportional to 7,013.46 and 15,281.79

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Solution

The third proportional to 7,013.46 and 15,281.79 is: 33,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.46 : 15,281.79 = 15,281.79 : x
  2. Step 2: Convert to fraction form
    7,013.46/15,281.79 = 15,281.79/x
  3. Step 3: Cross multiply
    7,013.46x = 15,281.79 × 15,281.79
  4. Step 4: Simplify right side
    7,013.46x = 233,533,076.95
  5. Step 5: Solve for x
    x = 233,533,076.95/7,013.46
  6. Step 6: Final answer
    x = 33,297.84

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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.