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Finding the Third Proportional to 11,089.50 and 24,044.25

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Solution

The third proportional to 11,089.50 and 24,044.25 is: 52,132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,089.50 : 24,044.25 = 24,044.25 : x
  2. Step 2: Convert to fraction form
    11,089.50/24,044.25 = 24,044.25/x
  3. Step 3: Cross multiply
    11,089.50x = 24,044.25 × 24,044.25
  4. Step 4: Simplify right side
    11,089.50x = 578,125,958.06
  5. Step 5: Solve for x
    x = 578,125,958.06/11,089.50
  6. Step 6: Final answer
    x = 52,132.73

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1.5x scale

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.