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Finding the Third Proportional to 30,564 and 45,927

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Solution

The third proportional to 30,564 and 45,927 is: 69,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564 : 45,927 = 45,927 : x
  2. Step 2: Convert to fraction form
    30,564/45,927 = 45,927/x
  3. Step 3: Cross multiply
    30,564x = 45,927 × 45,927
  4. Step 4: Simplify right side
    30,564x = 2,109,289,329
  5. Step 5: Solve for x
    x = 2,109,289,329/30,564
  6. Step 6: Final answer
    x = 69,012.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.