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Finding the Third Proportional to 9,909 and 15,187.50

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Solution

The third proportional to 9,909 and 15,187.50 is: 23,277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909 : 15,187.50 = 15,187.50 : x
  2. Step 2: Convert to fraction form
    9,909/15,187.50 = 15,187.50/x
  3. Step 3: Cross multiply
    9,909x = 15,187.50 × 15,187.50
  4. Step 4: Simplify right side
    9,909x = 230,660,156.25
  5. Step 5: Solve for x
    x = 230,660,156.25/9,909
  6. Step 6: Final answer
    x = 23,277.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.