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Finding the Third Proportional to 9,527 and 22,265

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Solution

The third proportional to 9,527 and 22,265 is: 52,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527 : 22,265 = 22,265 : x
  2. Step 2: Convert to fraction form
    9,527/22,265 = 22,265/x
  3. Step 3: Cross multiply
    9,527x = 22,265 × 22,265
  4. Step 4: Simplify right side
    9,527x = 495,730,225
  5. Step 5: Solve for x
    x = 495,730,225/9,527
  6. Step 6: Final answer
    x = 52,034.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.