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Finding the Third Proportional to 29,283 and 64,209

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Solution

The third proportional to 29,283 and 64,209 is: 140,791.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,283 : 64,209 = 64,209 : x
  2. Step 2: Convert to fraction form
    29,283/64,209 = 64,209/x
  3. Step 3: Cross multiply
    29,283x = 64,209 × 64,209
  4. Step 4: Simplify right side
    29,283x = 4,122,795,681
  5. Step 5: Solve for x
    x = 4,122,795,681/29,283
  6. Step 6: Final answer
    x = 140,791.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.