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Finding the Third Proportional to 9,775 and 15,145

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Solution

The third proportional to 9,775 and 15,145 is: 23,465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775 : 15,145 = 15,145 : x
  2. Step 2: Convert to fraction form
    9,775/15,145 = 15,145/x
  3. Step 3: Cross multiply
    9,775x = 15,145 × 15,145
  4. Step 4: Simplify right side
    9,775x = 229,371,025
  5. Step 5: Solve for x
    x = 229,371,025/9,775
  6. Step 6: Final answer
    x = 23,465.07

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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.