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Finding the Third Proportional to 30,564 and 40,566

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Solution

The third proportional to 30,564 and 40,566 is: 53,841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564 : 40,566 = 40,566 : x
  2. Step 2: Convert to fraction form
    30,564/40,566 = 40,566/x
  3. Step 3: Cross multiply
    30,564x = 40,566 × 40,566
  4. Step 4: Simplify right side
    30,564x = 1,645,600,356
  5. Step 5: Solve for x
    x = 1,645,600,356/30,564
  6. Step 6: Final answer
    x = 53,841.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.