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Finding the Third Proportional to 10,261 and 22,527

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Solution

The third proportional to 10,261 and 22,527 is: 49,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261 : 22,527 = 22,527 : x
  2. Step 2: Convert to fraction form
    10,261/22,527 = 22,527/x
  3. Step 3: Cross multiply
    10,261x = 22,527 × 22,527
  4. Step 4: Simplify right side
    10,261x = 507,465,729
  5. Step 5: Solve for x
    x = 507,465,729/10,261
  6. Step 6: Final answer
    x = 49,455.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.