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Finding the Third Proportional to 29,076 and 64,732

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Solution

The third proportional to 29,076 and 64,732 is: 144,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,076 : 64,732 = 64,732 : x
  2. Step 2: Convert to fraction form
    29,076/64,732 = 64,732/x
  3. Step 3: Cross multiply
    29,076x = 64,732 × 64,732
  4. Step 4: Simplify right side
    29,076x = 4,190,231,824
  5. Step 5: Solve for x
    x = 4,190,231,824/29,076
  6. Step 6: Final answer
    x = 144,113.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.