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Finding the Third Proportional to 7,580 and 15,697

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Solution

The third proportional to 7,580 and 15,697 is: 32,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580 : 15,697 = 15,697 : x
  2. Step 2: Convert to fraction form
    7,580/15,697 = 15,697/x
  3. Step 3: Cross multiply
    7,580x = 15,697 × 15,697
  4. Step 4: Simplify right side
    7,580x = 246,395,809
  5. Step 5: Solve for x
    x = 246,395,809/7,580
  6. Step 6: Final answer
    x = 32,506.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.