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Finding the Third Proportional to 53,618 and 73,587

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Solution

The third proportional to 53,618 and 73,587 is: 100,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,618 : 73,587 = 73,587 : x
  2. Step 2: Convert to fraction form
    53,618/73,587 = 73,587/x
  3. Step 3: Cross multiply
    53,618x = 73,587 × 73,587
  4. Step 4: Simplify right side
    53,618x = 5,415,046,569
  5. Step 5: Solve for x
    x = 5,415,046,569/53,618
  6. Step 6: Final answer
    x = 100,993.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.