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Finding the Third Proportional to 35,002.13 and 75,534.75

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Solution

The third proportional to 35,002.13 and 75,534.75 is: 163,004.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,002.13 : 75,534.75 = 75,534.75 : x
  2. Step 2: Convert to fraction form
    35,002.13/75,534.75 = 75,534.75/x
  3. Step 3: Cross multiply
    35,002.13x = 75,534.75 × 75,534.75
  4. Step 4: Simplify right side
    35,002.13x = 5,705,498,457.56
  5. Step 5: Solve for x
    x = 5,705,498,457.56/35,002.13
  6. Step 6: Final answer
    x = 163,004.34

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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.