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Finding the Third Proportional to 3,043.97 and 4,598.86

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Solution

The third proportional to 3,043.97 and 4,598.86 is: 6,948.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.97 : 4,598.86 = 4,598.86 : x
  2. Step 2: Convert to fraction form
    3,043.97/4,598.86 = 4,598.86/x
  3. Step 3: Cross multiply
    3,043.97x = 4,598.86 × 4,598.86
  4. Step 4: Simplify right side
    3,043.97x = 21,149,507.55
  5. Step 5: Solve for x
    x = 21,149,507.55/3,043.97
  6. Step 6: Final answer
    x = 6,948.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.