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Finding the Third Proportional to 10,953 and 23,362

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Solution

The third proportional to 10,953 and 23,362 is: 49,829.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953 : 23,362 = 23,362 : x
  2. Step 2: Convert to fraction form
    10,953/23,362 = 23,362/x
  3. Step 3: Cross multiply
    10,953x = 23,362 × 23,362
  4. Step 4: Simplify right side
    10,953x = 545,783,044
  5. Step 5: Solve for x
    x = 545,783,044/10,953
  6. Step 6: Final answer
    x = 49,829.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.