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Finding the Third Proportional to 53,441.25 and 84,618

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Solution

The third proportional to 53,441.25 and 84,618 is: 133,982.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,441.25 : 84,618 = 84,618 : x
  2. Step 2: Convert to fraction form
    53,441.25/84,618 = 84,618/x
  3. Step 3: Cross multiply
    53,441.25x = 84,618 × 84,618
  4. Step 4: Simplify right side
    53,441.25x = 7,160,205,924
  5. Step 5: Solve for x
    x = 7,160,205,924/53,441.25
  6. Step 6: Final answer
    x = 133,982.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.