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Finding the Third Proportional to 20,056 and 27,056

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Solution

The third proportional to 20,056 and 27,056 is: 36,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,056 : 27,056 = 27,056 : x
  2. Step 2: Convert to fraction form
    20,056/27,056 = 27,056/x
  3. Step 3: Cross multiply
    20,056x = 27,056 × 27,056
  4. Step 4: Simplify right side
    20,056x = 732,027,136
  5. Step 5: Solve for x
    x = 732,027,136/20,056
  6. Step 6: Final answer
    x = 36,499.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.