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Finding the Third Proportional to 10,590 and 22,636

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Solution

The third proportional to 10,590 and 22,636 is: 48,384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590 : 22,636 = 22,636 : x
  2. Step 2: Convert to fraction form
    10,590/22,636 = 22,636/x
  3. Step 3: Cross multiply
    10,590x = 22,636 × 22,636
  4. Step 4: Simplify right side
    10,590x = 512,388,496
  5. Step 5: Solve for x
    x = 512,388,496/10,590
  6. Step 6: Final answer
    x = 48,384.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.