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Finding the Third Proportional to 3,522 and 3,746

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Solution

The third proportional to 3,522 and 3,746 is: 3,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522 : 3,746 = 3,746 : x
  2. Step 2: Convert to fraction form
    3,522/3,746 = 3,746/x
  3. Step 3: Cross multiply
    3,522x = 3,746 × 3,746
  4. Step 4: Simplify right side
    3,522x = 14,032,516
  5. Step 5: Solve for x
    x = 14,032,516/3,522
  6. Step 6: Final answer
    x = 3,984.25

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.