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Finding the Third Proportional to 27,348 and 64,522

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Solution

The third proportional to 27,348 and 64,522 is: 152,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,348 : 64,522 = 64,522 : x
  2. Step 2: Convert to fraction form
    27,348/64,522 = 64,522/x
  3. Step 3: Cross multiply
    27,348x = 64,522 × 64,522
  4. Step 4: Simplify right side
    27,348x = 4,163,088,484
  5. Step 5: Solve for x
    x = 4,163,088,484/27,348
  6. Step 6: Final answer
    x = 152,226.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.