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Finding the Third Proportional to 39,495 and 84,618

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Solution

The third proportional to 39,495 and 84,618 is: 181,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,495 : 84,618 = 84,618 : x
  2. Step 2: Convert to fraction form
    39,495/84,618 = 84,618/x
  3. Step 3: Cross multiply
    39,495x = 84,618 × 84,618
  4. Step 4: Simplify right side
    39,495x = 7,160,205,924
  5. Step 5: Solve for x
    x = 7,160,205,924/39,495
  6. Step 6: Final answer
    x = 181,293.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.