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Finding the Third Proportional to 5,600 and 13,580

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Solution

The third proportional to 5,600 and 13,580 is: 32,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600 : 13,580 = 13,580 : x
  2. Step 2: Convert to fraction form
    5,600/13,580 = 13,580/x
  3. Step 3: Cross multiply
    5,600x = 13,580 × 13,580
  4. Step 4: Simplify right side
    5,600x = 184,416,400
  5. Step 5: Solve for x
    x = 184,416,400/5,600
  6. Step 6: Final answer
    x = 32,931.50

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.