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Finding the Third Proportional to 10,806 and 22,365

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Solution

The third proportional to 10,806 and 22,365 is: 46,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806 : 22,365 = 22,365 : x
  2. Step 2: Convert to fraction form
    10,806/22,365 = 22,365/x
  3. Step 3: Cross multiply
    10,806x = 22,365 × 22,365
  4. Step 4: Simplify right side
    10,806x = 500,193,225
  5. Step 5: Solve for x
    x = 500,193,225/10,806
  6. Step 6: Final answer
    x = 46,288.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.