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Finding the Third Proportional to 4,207.50 and 4,677.75

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Solution

The third proportional to 4,207.50 and 4,677.75 is: 5,200.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.50 : 4,677.75 = 4,677.75 : x
  2. Step 2: Convert to fraction form
    4,207.50/4,677.75 = 4,677.75/x
  3. Step 3: Cross multiply
    4,207.50x = 4,677.75 × 4,677.75
  4. Step 4: Simplify right side
    4,207.50x = 21,881,345.06
  5. Step 5: Solve for x
    x = 21,881,345.06/4,207.50
  6. Step 6: Final answer
    x = 5,200.56

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.