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Finding the Third Proportional to 43,755 and 65,618

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Solution

The third proportional to 43,755 and 65,618 is: 98,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,755 : 65,618 = 65,618 : x
  2. Step 2: Convert to fraction form
    43,755/65,618 = 65,618/x
  3. Step 3: Cross multiply
    43,755x = 65,618 × 65,618
  4. Step 4: Simplify right side
    43,755x = 4,305,721,924
  5. Step 5: Solve for x
    x = 4,305,721,924/43,755
  6. Step 6: Final answer
    x = 98,405.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.