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Finding the Third Proportional to 35,304 and 51,875

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Solution

The third proportional to 35,304 and 51,875 is: 76,224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,304 : 51,875 = 51,875 : x
  2. Step 2: Convert to fraction form
    35,304/51,875 = 51,875/x
  3. Step 3: Cross multiply
    35,304x = 51,875 × 51,875
  4. Step 4: Simplify right side
    35,304x = 2,691,015,625
  5. Step 5: Solve for x
    x = 2,691,015,625/35,304
  6. Step 6: Final answer
    x = 76,224.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.