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Finding the Third Proportional to 6,264.84 and 15,548.20

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Solution

The third proportional to 6,264.84 and 15,548.20 is: 38,587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.84 : 15,548.20 = 15,548.20 : x
  2. Step 2: Convert to fraction form
    6,264.84/15,548.20 = 15,548.20/x
  3. Step 3: Cross multiply
    6,264.84x = 15,548.20 × 15,548.20
  4. Step 4: Simplify right side
    6,264.84x = 241,746,620.42
  5. Step 5: Solve for x
    x = 241,746,620.42/6,264.84
  6. Step 6: Final answer
    x = 38,587.81

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.