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Finding the Third Proportional to 710.03 and 1,551.69

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Solution

The third proportional to 710.03 and 1,551.69 is: 3,391.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.03 : 1,551.69 = 1,551.69 : x
  2. Step 2: Convert to fraction form
    710.03/1,551.69 = 1,551.69/x
  3. Step 3: Cross multiply
    710.03x = 1,551.69 × 1,551.69
  4. Step 4: Simplify right side
    710.03x = 2,407,734.10
  5. Step 5: Solve for x
    x = 2,407,734.10/710.03
  6. Step 6: Final answer
    x = 3,391.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.