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Finding the Third Proportional to 35,302.50 and 77,712.75

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Solution

The third proportional to 35,302.50 and 77,712.75 is: 171,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,302.50 : 77,712.75 = 77,712.75 : x
  2. Step 2: Convert to fraction form
    35,302.50/77,712.75 = 77,712.75/x
  3. Step 3: Cross multiply
    35,302.50x = 77,712.75 × 77,712.75
  4. Step 4: Simplify right side
    35,302.50x = 6,039,271,512.56
  5. Step 5: Solve for x
    x = 6,039,271,512.56/35,302.50
  6. Step 6: Final answer
    x = 171,072.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.