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Finding the Third Proportional to 5,347.90 and 8,323.70

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Solution

The third proportional to 5,347.90 and 8,323.70 is: 12,955.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.90 : 8,323.70 = 8,323.70 : x
  2. Step 2: Convert to fraction form
    5,347.90/8,323.70 = 8,323.70/x
  3. Step 3: Cross multiply
    5,347.90x = 8,323.70 × 8,323.70
  4. Step 4: Simplify right side
    5,347.90x = 69,283,968.68
  5. Step 5: Solve for x
    x = 69,283,968.68/5,347.90
  6. Step 6: Final answer
    x = 12,955.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.