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Finding the Third Proportional to 29,302 and 64,580

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Solution

The third proportional to 29,302 and 64,580 is: 142,330.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,302 : 64,580 = 64,580 : x
  2. Step 2: Convert to fraction form
    29,302/64,580 = 64,580/x
  3. Step 3: Cross multiply
    29,302x = 64,580 × 64,580
  4. Step 4: Simplify right side
    29,302x = 4,170,576,400
  5. Step 5: Solve for x
    x = 4,170,576,400/29,302
  6. Step 6: Final answer
    x = 142,330.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.