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Finding the Third Proportional to 27,473 and 59,326

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Solution

The third proportional to 27,473 and 59,326 is: 128,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,473 : 59,326 = 59,326 : x
  2. Step 2: Convert to fraction form
    27,473/59,326 = 59,326/x
  3. Step 3: Cross multiply
    27,473x = 59,326 × 59,326
  4. Step 4: Simplify right side
    27,473x = 3,519,574,276
  5. Step 5: Solve for x
    x = 3,519,574,276/27,473
  6. Step 6: Final answer
    x = 128,110.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.