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Finding the Third Proportional to 26,304 and 35,439.75

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Solution

The third proportional to 26,304 and 35,439.75 is: 47,748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,304 : 35,439.75 = 35,439.75 : x
  2. Step 2: Convert to fraction form
    26,304/35,439.75 = 35,439.75/x
  3. Step 3: Cross multiply
    26,304x = 35,439.75 × 35,439.75
  4. Step 4: Simplify right side
    26,304x = 1,255,975,880.06
  5. Step 5: Solve for x
    x = 1,255,975,880.06/26,304
  6. Step 6: Final answer
    x = 47,748.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.