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Finding the Third Proportional to 1,703.11 and 2,648.11

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Solution

The third proportional to 1,703.11 and 2,648.11 is: 4,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.11 : 2,648.11 = 2,648.11 : x
  2. Step 2: Convert to fraction form
    1,703.11/2,648.11 = 2,648.11/x
  3. Step 3: Cross multiply
    1,703.11x = 2,648.11 × 2,648.11
  4. Step 4: Simplify right side
    1,703.11x = 7,012,483.26
  5. Step 5: Solve for x
    x = 7,012,483.26/1,703.11
  6. Step 6: Final answer
    x = 4,117.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.