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Finding the Third Proportional to 35,555.84 and 77,672.67

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Solution

The third proportional to 35,555.84 and 77,672.67 is: 169,678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,555.84 : 77,672.67 = 77,672.67 : x
  2. Step 2: Convert to fraction form
    35,555.84/77,672.67 = 77,672.67/x
  3. Step 3: Cross multiply
    35,555.84x = 77,672.67 × 77,672.67
  4. Step 4: Simplify right side
    35,555.84x = 6,033,043,956.20
  5. Step 5: Solve for x
    x = 6,033,043,956.20/35,555.84
  6. Step 6: Final answer
    x = 169,678.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.