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Finding the Third Proportional to 6,264.84 and 9,712.41

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Solution

The third proportional to 6,264.84 and 9,712.41 is: 15,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.84 : 9,712.41 = 9,712.41 : x
  2. Step 2: Convert to fraction form
    6,264.84/9,712.41 = 9,712.41/x
  3. Step 3: Cross multiply
    6,264.84x = 9,712.41 × 9,712.41
  4. Step 4: Simplify right side
    6,264.84x = 94,330,835.17
  5. Step 5: Solve for x
    x = 94,330,835.17/6,264.84
  6. Step 6: Final answer
    x = 15,057.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.