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Finding the Third Proportional to 3,987.25 and 8,730.50

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Solution

The third proportional to 3,987.25 and 8,730.50 is: 19,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.25 : 8,730.50 = 8,730.50 : x
  2. Step 2: Convert to fraction form
    3,987.25/8,730.50 = 8,730.50/x
  3. Step 3: Cross multiply
    3,987.25x = 8,730.50 × 8,730.50
  4. Step 4: Simplify right side
    3,987.25x = 76,221,630.25
  5. Step 5: Solve for x
    x = 76,221,630.25/3,987.25
  6. Step 6: Final answer
    x = 19,116.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.