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Finding the Third Proportional to 1,677.48 and 2,458.48

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Solution

The third proportional to 1,677.48 and 2,458.48 is: 3,603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.48 : 2,458.48 = 2,458.48 : x
  2. Step 2: Convert to fraction form
    1,677.48/2,458.48 = 2,458.48/x
  3. Step 3: Cross multiply
    1,677.48x = 2,458.48 × 2,458.48
  4. Step 4: Simplify right side
    1,677.48x = 6,044,107.01
  5. Step 5: Solve for x
    x = 6,044,107.01/1,677.48
  6. Step 6: Final answer
    x = 3,603.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.