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Finding the Third Proportional to 2,047.46 and 3,041.30

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Solution

The third proportional to 2,047.46 and 3,041.30 is: 4,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.46 : 3,041.30 = 3,041.30 : x
  2. Step 2: Convert to fraction form
    2,047.46/3,041.30 = 3,041.30/x
  3. Step 3: Cross multiply
    2,047.46x = 3,041.30 × 3,041.30
  4. Step 4: Simplify right side
    2,047.46x = 9,249,486.68
  5. Step 5: Solve for x
    x = 9,249,486.68/2,047.46
  6. Step 6: Final answer
    x = 4,517.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.