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Finding the Third Proportional to 21,566 and 45,184

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Solution

The third proportional to 21,566 and 45,184 is: 94,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,566 : 45,184 = 45,184 : x
  2. Step 2: Convert to fraction form
    21,566/45,184 = 45,184/x
  3. Step 3: Cross multiply
    21,566x = 45,184 × 45,184
  4. Step 4: Simplify right side
    21,566x = 2,041,593,856
  5. Step 5: Solve for x
    x = 2,041,593,856/21,566
  6. Step 6: Final answer
    x = 94,667.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.