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Finding the Third Proportional to 27,618 and 37,053

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Solution

The third proportional to 27,618 and 37,053 is: 49,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,618 : 37,053 = 37,053 : x
  2. Step 2: Convert to fraction form
    27,618/37,053 = 37,053/x
  3. Step 3: Cross multiply
    27,618x = 37,053 × 37,053
  4. Step 4: Simplify right side
    27,618x = 1,372,924,809
  5. Step 5: Solve for x
    x = 1,372,924,809/27,618
  6. Step 6: Final answer
    x = 49,711.23

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.