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Finding the Third Proportional to 30,564 and 43,605

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Solution

The third proportional to 30,564 and 43,605 is: 62,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564 : 43,605 = 43,605 : x
  2. Step 2: Convert to fraction form
    30,564/43,605 = 43,605/x
  3. Step 3: Cross multiply
    30,564x = 43,605 × 43,605
  4. Step 4: Simplify right side
    30,564x = 1,901,396,025
  5. Step 5: Solve for x
    x = 1,901,396,025/30,564
  6. Step 6: Final answer
    x = 62,210.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.