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Finding the Third Proportional to 36,376 and 55,056

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Solution

The third proportional to 36,376 and 55,056 is: 83,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,376 : 55,056 = 55,056 : x
  2. Step 2: Convert to fraction form
    36,376/55,056 = 55,056/x
  3. Step 3: Cross multiply
    36,376x = 55,056 × 55,056
  4. Step 4: Simplify right side
    36,376x = 3,031,163,136
  5. Step 5: Solve for x
    x = 3,031,163,136/36,376
  6. Step 6: Final answer
    x = 83,328.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.