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Finding the Third Proportional to 6,297 and 9,720

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Solution

The third proportional to 6,297 and 9,720 is: 15,003.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297 : 9,720 = 9,720 : x
  2. Step 2: Convert to fraction form
    6,297/9,720 = 9,720/x
  3. Step 3: Cross multiply
    6,297x = 9,720 × 9,720
  4. Step 4: Simplify right side
    6,297x = 94,478,400
  5. Step 5: Solve for x
    x = 94,478,400/6,297
  6. Step 6: Final answer
    x = 15,003.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.