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Finding the Third Proportional to 4,656.87 and 6,276.23

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Solution

The third proportional to 4,656.87 and 6,276.23 is: 8,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.87 : 6,276.23 = 6,276.23 : x
  2. Step 2: Convert to fraction form
    4,656.87/6,276.23 = 6,276.23/x
  3. Step 3: Cross multiply
    4,656.87x = 6,276.23 × 6,276.23
  4. Step 4: Simplify right side
    4,656.87x = 39,391,117.93
  5. Step 5: Solve for x
    x = 39,391,117.93/4,656.87
  6. Step 6: Final answer
    x = 8,458.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.