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Finding the Third Proportional to 3,470 and 5,537

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Solution

The third proportional to 3,470 and 5,537 is: 8,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470 : 5,537 = 5,537 : x
  2. Step 2: Convert to fraction form
    3,470/5,537 = 5,537/x
  3. Step 3: Cross multiply
    3,470x = 5,537 × 5,537
  4. Step 4: Simplify right side
    3,470x = 30,658,369
  5. Step 5: Solve for x
    x = 30,658,369/3,470
  6. Step 6: Final answer
    x = 8,835.26

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.