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Finding the Third Proportional to 10,089 and 15,661.50

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Solution

The third proportional to 10,089 and 15,661.50 is: 24,311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089 : 15,661.50 = 15,661.50 : x
  2. Step 2: Convert to fraction form
    10,089/15,661.50 = 15,661.50/x
  3. Step 3: Cross multiply
    10,089x = 15,661.50 × 15,661.50
  4. Step 4: Simplify right side
    10,089x = 245,282,582.25
  5. Step 5: Solve for x
    x = 245,282,582.25/10,089
  6. Step 6: Final answer
    x = 24,311.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.