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Finding the Third Proportional to 4,026 and 6,275.25

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Solution

The third proportional to 4,026 and 6,275.25 is: 9,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026 : 6,275.25 = 6,275.25 : x
  2. Step 2: Convert to fraction form
    4,026/6,275.25 = 6,275.25/x
  3. Step 3: Cross multiply
    4,026x = 6,275.25 × 6,275.25
  4. Step 4: Simplify right side
    4,026x = 39,378,762.56
  5. Step 5: Solve for x
    x = 39,378,762.56/4,026
  6. Step 6: Final answer
    x = 9,781.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.