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Finding the Third Proportional to 35,024.30 and 75,584.45

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Solution

The third proportional to 35,024.30 and 75,584.45 is: 163,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,024.30 : 75,584.45 = 75,584.45 : x
  2. Step 2: Convert to fraction form
    35,024.30/75,584.45 = 75,584.45/x
  3. Step 3: Cross multiply
    35,024.30x = 75,584.45 × 75,584.45
  4. Step 4: Simplify right side
    35,024.30x = 5,713,009,074.42
  5. Step 5: Solve for x
    x = 5,713,009,074.42/35,024.30
  6. Step 6: Final answer
    x = 163,115.57

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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.