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Finding the Third Proportional to 35,534.11 and 76,603.64

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Solution

The third proportional to 35,534.11 and 76,603.64 is: 165,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,534.11 : 76,603.64 = 76,603.64 : x
  2. Step 2: Convert to fraction form
    35,534.11/76,603.64 = 76,603.64/x
  3. Step 3: Cross multiply
    35,534.11x = 76,603.64 × 76,603.64
  4. Step 4: Simplify right side
    35,534.11x = 5,868,117,757.00
  5. Step 5: Solve for x
    x = 5,868,117,757.00/35,534.11
  6. Step 6: Final answer
    x = 165,140.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.