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Finding the Third Proportional to 10,323 and 22,623.75

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Solution

The third proportional to 10,323 and 22,623.75 is: 49,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323 : 22,623.75 = 22,623.75 : x
  2. Step 2: Convert to fraction form
    10,323/22,623.75 = 22,623.75/x
  3. Step 3: Cross multiply
    10,323x = 22,623.75 × 22,623.75
  4. Step 4: Simplify right side
    10,323x = 511,834,064.06
  5. Step 5: Solve for x
    x = 511,834,064.06/10,323
  6. Step 6: Final answer
    x = 49,581.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.