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Finding the Third Proportional to 3,230.16 and 4,985.72

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Solution

The third proportional to 3,230.16 and 4,985.72 is: 7,695.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.16 : 4,985.72 = 4,985.72 : x
  2. Step 2: Convert to fraction form
    3,230.16/4,985.72 = 4,985.72/x
  3. Step 3: Cross multiply
    3,230.16x = 4,985.72 × 4,985.72
  4. Step 4: Simplify right side
    3,230.16x = 24,857,391.45
  5. Step 5: Solve for x
    x = 24,857,391.45/3,230.16
  6. Step 6: Final answer
    x = 7,695.41

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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.