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Finding the Third Proportional to 27,534 and 41,364

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Solution

The third proportional to 27,534 and 41,364 is: 62,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534 : 41,364 = 41,364 : x
  2. Step 2: Convert to fraction form
    27,534/41,364 = 41,364/x
  3. Step 3: Cross multiply
    27,534x = 41,364 × 41,364
  4. Step 4: Simplify right side
    27,534x = 1,710,980,496
  5. Step 5: Solve for x
    x = 1,710,980,496/27,534
  6. Step 6: Final answer
    x = 62,140.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.