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Finding the Third Proportional to 42,618 and 61,253

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Solution

The third proportional to 42,618 and 61,253 is: 88,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,618 : 61,253 = 61,253 : x
  2. Step 2: Convert to fraction form
    42,618/61,253 = 61,253/x
  3. Step 3: Cross multiply
    42,618x = 61,253 × 61,253
  4. Step 4: Simplify right side
    42,618x = 3,751,930,009
  5. Step 5: Solve for x
    x = 3,751,930,009/42,618
  6. Step 6: Final answer
    x = 88,036.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.