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Finding the Third Proportional to 5,347.97 and 7,848.84

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Solution

The third proportional to 5,347.97 and 7,848.84 is: 11,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.97 : 7,848.84 = 7,848.84 : x
  2. Step 2: Convert to fraction form
    5,347.97/7,848.84 = 7,848.84/x
  3. Step 3: Cross multiply
    5,347.97x = 7,848.84 × 7,848.84
  4. Step 4: Simplify right side
    5,347.97x = 61,604,348.21
  5. Step 5: Solve for x
    x = 61,604,348.21/5,347.97
  6. Step 6: Final answer
    x = 11,519.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.