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Finding the Third Proportional to 11,566 and 24,572

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Solution

The third proportional to 11,566 and 24,572 is: 52,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566 : 24,572 = 24,572 : x
  2. Step 2: Convert to fraction form
    11,566/24,572 = 24,572/x
  3. Step 3: Cross multiply
    11,566x = 24,572 × 24,572
  4. Step 4: Simplify right side
    11,566x = 603,783,184
  5. Step 5: Solve for x
    x = 603,783,184/11,566
  6. Step 6: Final answer
    x = 52,203.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.