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Finding the Third Proportional to 9,870 and 15,011

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Solution

The third proportional to 9,870 and 15,011 is: 22,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870 : 15,011 = 15,011 : x
  2. Step 2: Convert to fraction form
    9,870/15,011 = 15,011/x
  3. Step 3: Cross multiply
    9,870x = 15,011 × 15,011
  4. Step 4: Simplify right side
    9,870x = 225,330,121
  5. Step 5: Solve for x
    x = 225,330,121/9,870
  6. Step 6: Final answer
    x = 22,829.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.