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Finding the Third Proportional to 22,038 and 34,136

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Solution

The third proportional to 22,038 and 34,136 is: 52,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038 : 34,136 = 34,136 : x
  2. Step 2: Convert to fraction form
    22,038/34,136 = 34,136/x
  3. Step 3: Cross multiply
    22,038x = 34,136 × 34,136
  4. Step 4: Simplify right side
    22,038x = 1,165,266,496
  5. Step 5: Solve for x
    x = 1,165,266,496/22,038
  6. Step 6: Final answer
    x = 52,875.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.