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Finding the Third Proportional to 1,841.48 and 2,588.20

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Solution

The third proportional to 1,841.48 and 2,588.20 is: 3,637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.48 : 2,588.20 = 2,588.20 : x
  2. Step 2: Convert to fraction form
    1,841.48/2,588.20 = 2,588.20/x
  3. Step 3: Cross multiply
    1,841.48x = 2,588.20 × 2,588.20
  4. Step 4: Simplify right side
    1,841.48x = 6,698,795.42
  5. Step 5: Solve for x
    x = 6,698,795.42/1,841.48
  6. Step 6: Final answer
    x = 3,637.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.