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Finding the Third Proportional to 35,631.93 and 77,465.90

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Solution

The third proportional to 35,631.93 and 77,465.90 is: 168,415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,631.93 : 77,465.90 = 77,465.90 : x
  2. Step 2: Convert to fraction form
    35,631.93/77,465.90 = 77,465.90/x
  3. Step 3: Cross multiply
    35,631.93x = 77,465.90 × 77,465.90
  4. Step 4: Simplify right side
    35,631.93x = 6,000,965,723.33
  5. Step 5: Solve for x
    x = 6,000,965,723.33/35,631.93
  6. Step 6: Final answer
    x = 168,415.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.