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Finding the Third Proportional to 4,643.10 and 5,347.90

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Solution

The third proportional to 4,643.10 and 5,347.90 is: 6,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.10 : 5,347.90 = 5,347.90 : x
  2. Step 2: Convert to fraction form
    4,643.10/5,347.90 = 5,347.90/x
  3. Step 3: Cross multiply
    4,643.10x = 5,347.90 × 5,347.90
  4. Step 4: Simplify right side
    4,643.10x = 28,600,017.70
  5. Step 5: Solve for x
    x = 28,600,017.70/4,643.10
  6. Step 6: Final answer
    x = 6,159.68

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.