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Finding the Third Proportional to 35,000 and 52,680

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Solution

The third proportional to 35,000 and 52,680 is: 79,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,000 : 52,680 = 52,680 : x
  2. Step 2: Convert to fraction form
    35,000/52,680 = 52,680/x
  3. Step 3: Cross multiply
    35,000x = 52,680 × 52,680
  4. Step 4: Simplify right side
    35,000x = 2,775,182,400
  5. Step 5: Solve for x
    x = 2,775,182,400/35,000
  6. Step 6: Final answer
    x = 79,290.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.