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Finding the Third Proportional to 29,300 and 64,576

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Solution

The third proportional to 29,300 and 64,576 is: 142,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,300 : 64,576 = 64,576 : x
  2. Step 2: Convert to fraction form
    29,300/64,576 = 64,576/x
  3. Step 3: Cross multiply
    29,300x = 64,576 × 64,576
  4. Step 4: Simplify right side
    29,300x = 4,170,059,776
  5. Step 5: Solve for x
    x = 4,170,059,776/29,300
  6. Step 6: Final answer
    x = 142,322.86

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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.