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Finding the Third Proportional to 27,322 and 39,487

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Solution

The third proportional to 27,322 and 39,487 is: 57,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,322 : 39,487 = 39,487 : x
  2. Step 2: Convert to fraction form
    27,322/39,487 = 39,487/x
  3. Step 3: Cross multiply
    27,322x = 39,487 × 39,487
  4. Step 4: Simplify right side
    27,322x = 1,559,223,169
  5. Step 5: Solve for x
    x = 1,559,223,169/27,322
  6. Step 6: Final answer
    x = 57,068.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.