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Finding the Third Proportional to 26,136 and 38,586.38

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Solution

The third proportional to 26,136 and 38,586.38 is: 56,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,136 : 38,586.38 = 38,586.38 : x
  2. Step 2: Convert to fraction form
    26,136/38,586.38 = 38,586.38/x
  3. Step 3: Cross multiply
    26,136x = 38,586.38 × 38,586.38
  4. Step 4: Simplify right side
    26,136x = 1,488,908,335.64
  5. Step 5: Solve for x
    x = 1,488,908,335.64/26,136
  6. Step 6: Final answer
    x = 56,967.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.