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Finding the Third Proportional to 27,621 and 59,909.63

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Solution

The third proportional to 27,621 and 59,909.63 is: 129,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,621 : 59,909.63 = 59,909.63 : x
  2. Step 2: Convert to fraction form
    27,621/59,909.63 = 59,909.63/x
  3. Step 3: Cross multiply
    27,621x = 59,909.63 × 59,909.63
  4. Step 4: Simplify right side
    27,621x = 3,589,163,167.64
  5. Step 5: Solve for x
    x = 3,589,163,167.64/27,621
  6. Step 6: Final answer
    x = 129,943.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.