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Finding the Third Proportional to 22,803 and 49,013

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Solution

The third proportional to 22,803 and 49,013 is: 105,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,803 : 49,013 = 49,013 : x
  2. Step 2: Convert to fraction form
    22,803/49,013 = 49,013/x
  3. Step 3: Cross multiply
    22,803x = 49,013 × 49,013
  4. Step 4: Simplify right side
    22,803x = 2,402,274,169
  5. Step 5: Solve for x
    x = 2,402,274,169/22,803
  6. Step 6: Final answer
    x = 105,349.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.