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Finding the Third Proportional to 5,787 and 7,417.50

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Solution

The third proportional to 5,787 and 7,417.50 is: 9,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787 : 7,417.50 = 7,417.50 : x
  2. Step 2: Convert to fraction form
    5,787/7,417.50 = 7,417.50/x
  3. Step 3: Cross multiply
    5,787x = 7,417.50 × 7,417.50
  4. Step 4: Simplify right side
    5,787x = 55,019,306.25
  5. Step 5: Solve for x
    x = 55,019,306.25/5,787
  6. Step 6: Final answer
    x = 9,507.40

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.