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Finding the Third Proportional to 27,313 and 37,076

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Solution

The third proportional to 27,313 and 37,076 is: 50,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,313 : 37,076 = 37,076 : x
  2. Step 2: Convert to fraction form
    27,313/37,076 = 37,076/x
  3. Step 3: Cross multiply
    27,313x = 37,076 × 37,076
  4. Step 4: Simplify right side
    27,313x = 1,374,629,776
  5. Step 5: Solve for x
    x = 1,374,629,776/27,313
  6. Step 6: Final answer
    x = 50,328.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.