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Finding the Third Proportional to 9,726 and 15,089

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Solution

The third proportional to 9,726 and 15,089 is: 23,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726 : 15,089 = 15,089 : x
  2. Step 2: Convert to fraction form
    9,726/15,089 = 15,089/x
  3. Step 3: Cross multiply
    9,726x = 15,089 × 15,089
  4. Step 4: Simplify right side
    9,726x = 227,677,921
  5. Step 5: Solve for x
    x = 227,677,921/9,726
  6. Step 6: Final answer
    x = 23,409.20

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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.