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Finding the Third Proportional to 4,689.75 and 7,259.44

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Solution

The third proportional to 4,689.75 and 7,259.44 is: 11,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.75 : 7,259.44 = 7,259.44 : x
  2. Step 2: Convert to fraction form
    4,689.75/7,259.44 = 7,259.44/x
  3. Step 3: Cross multiply
    4,689.75x = 7,259.44 × 7,259.44
  4. Step 4: Simplify right side
    4,689.75x = 52,699,432.82
  5. Step 5: Solve for x
    x = 52,699,432.82/4,689.75
  6. Step 6: Final answer
    x = 11,237.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.