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Finding the Third Proportional to 19,618 and 27,587

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Solution

The third proportional to 19,618 and 27,587 is: 38,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,618 : 27,587 = 27,587 : x
  2. Step 2: Convert to fraction form
    19,618/27,587 = 27,587/x
  3. Step 3: Cross multiply
    19,618x = 27,587 × 27,587
  4. Step 4: Simplify right side
    19,618x = 761,042,569
  5. Step 5: Solve for x
    x = 761,042,569/19,618
  6. Step 6: Final answer
    x = 38,793.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.