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Finding the Third Proportional to 4,782 and 7,597

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Solution

The third proportional to 4,782 and 7,597 is: 12,069.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782 : 7,597 = 7,597 : x
  2. Step 2: Convert to fraction form
    4,782/7,597 = 7,597/x
  3. Step 3: Cross multiply
    4,782x = 7,597 × 7,597
  4. Step 4: Simplify right side
    4,782x = 57,714,409
  5. Step 5: Solve for x
    x = 57,714,409/4,782
  6. Step 6: Final answer
    x = 12,069.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.