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Finding the Third Proportional to 22,019.63 and 29,495.81

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Solution

The third proportional to 22,019.63 and 29,495.81 is: 39,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,019.63 : 29,495.81 = 29,495.81 : x
  2. Step 2: Convert to fraction form
    22,019.63/29,495.81 = 29,495.81/x
  3. Step 3: Cross multiply
    22,019.63x = 29,495.81 × 29,495.81
  4. Step 4: Simplify right side
    22,019.63x = 870,002,955.04
  5. Step 5: Solve for x
    x = 870,002,955.04/22,019.63
  6. Step 6: Final answer
    x = 39,510.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.