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Finding the Third Proportional to 27,448 and 64,136

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Solution

The third proportional to 27,448 and 64,136 is: 149,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,448 : 64,136 = 64,136 : x
  2. Step 2: Convert to fraction form
    27,448/64,136 = 64,136/x
  3. Step 3: Cross multiply
    27,448x = 64,136 × 64,136
  4. Step 4: Simplify right side
    27,448x = 4,113,426,496
  5. Step 5: Solve for x
    x = 4,113,426,496/27,448
  6. Step 6: Final answer
    x = 149,862.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.