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Finding the Third Proportional to 35,004 and 75,568

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Solution

The third proportional to 35,004 and 75,568 is: 163,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,004 : 75,568 = 75,568 : x
  2. Step 2: Convert to fraction form
    35,004/75,568 = 75,568/x
  3. Step 3: Cross multiply
    35,004x = 75,568 × 75,568
  4. Step 4: Simplify right side
    35,004x = 5,710,522,624
  5. Step 5: Solve for x
    x = 5,710,522,624/35,004
  6. Step 6: Final answer
    x = 163,139.14

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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.