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Finding the Third Proportional to 22,363 and 49,046

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Solution

The third proportional to 22,363 and 49,046 is: 107,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,363 : 49,046 = 49,046 : x
  2. Step 2: Convert to fraction form
    22,363/49,046 = 49,046/x
  3. Step 3: Cross multiply
    22,363x = 49,046 × 49,046
  4. Step 4: Simplify right side
    22,363x = 2,405,510,116
  5. Step 5: Solve for x
    x = 2,405,510,116/22,363
  6. Step 6: Final answer
    x = 107,566.52

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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.