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Finding the Third Proportional to 27,304 and 43,415

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Solution

The third proportional to 27,304 and 43,415 is: 69,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,304 : 43,415 = 43,415 : x
  2. Step 2: Convert to fraction form
    27,304/43,415 = 43,415/x
  3. Step 3: Cross multiply
    27,304x = 43,415 × 43,415
  4. Step 4: Simplify right side
    27,304x = 1,884,862,225
  5. Step 5: Solve for x
    x = 1,884,862,225/27,304
  6. Step 6: Final answer
    x = 69,032.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.