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Finding the Third Proportional to 10,584 and 22,842

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Solution

The third proportional to 10,584 and 22,842 is: 49,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584 : 22,842 = 22,842 : x
  2. Step 2: Convert to fraction form
    10,584/22,842 = 22,842/x
  3. Step 3: Cross multiply
    10,584x = 22,842 × 22,842
  4. Step 4: Simplify right side
    10,584x = 521,756,964
  5. Step 5: Solve for x
    x = 521,756,964/10,584
  6. Step 6: Final answer
    x = 49,296.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.