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Finding the Third Proportional to 35,003 and 55,668

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Solution

The third proportional to 35,003 and 55,668 is: 88,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,003 : 55,668 = 55,668 : x
  2. Step 2: Convert to fraction form
    35,003/55,668 = 55,668/x
  3. Step 3: Cross multiply
    35,003x = 55,668 × 55,668
  4. Step 4: Simplify right side
    35,003x = 3,098,926,224
  5. Step 5: Solve for x
    x = 3,098,926,224/35,003
  6. Step 6: Final answer
    x = 88,533.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.