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Finding the Third Proportional to 29,320 and 64,614

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Solution

The third proportional to 29,320 and 64,614 is: 142,393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,320 : 64,614 = 64,614 : x
  2. Step 2: Convert to fraction form
    29,320/64,614 = 64,614/x
  3. Step 3: Cross multiply
    29,320x = 64,614 × 64,614
  4. Step 4: Simplify right side
    29,320x = 4,174,968,996
  5. Step 5: Solve for x
    x = 4,174,968,996/29,320
  6. Step 6: Final answer
    x = 142,393.21

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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.