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Finding the Third Proportional to 3,053.75 and 6,656.16

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Solution

The third proportional to 3,053.75 and 6,656.16 is: 14,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.75 : 6,656.16 = 6,656.16 : x
  2. Step 2: Convert to fraction form
    3,053.75/6,656.16 = 6,656.16/x
  3. Step 3: Cross multiply
    3,053.75x = 6,656.16 × 6,656.16
  4. Step 4: Simplify right side
    3,053.75x = 44,304,416.02
  5. Step 5: Solve for x
    x = 44,304,416.02/3,053.75
  6. Step 6: Final answer
    x = 14,508.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.