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Finding the Third Proportional to 1,742.48 and 2,598.47

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Solution

The third proportional to 1,742.48 and 2,598.47 is: 3,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.48 : 2,598.47 = 2,598.47 : x
  2. Step 2: Convert to fraction form
    1,742.48/2,598.47 = 2,598.47/x
  3. Step 3: Cross multiply
    1,742.48x = 2,598.47 × 2,598.47
  4. Step 4: Simplify right side
    1,742.48x = 6,752,039.84
  5. Step 5: Solve for x
    x = 6,752,039.84/1,742.48
  6. Step 6: Final answer
    x = 3,874.95

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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.