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Finding the Third Proportional to 22,735 and 49,088

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Solution

The third proportional to 22,735 and 49,088 is: 105,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,735 : 49,088 = 49,088 : x
  2. Step 2: Convert to fraction form
    22,735/49,088 = 49,088/x
  3. Step 3: Cross multiply
    22,735x = 49,088 × 49,088
  4. Step 4: Simplify right side
    22,735x = 2,409,631,744
  5. Step 5: Solve for x
    x = 2,409,631,744/22,735
  6. Step 6: Final answer
    x = 105,987.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.