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Finding the Third Proportional to 29,682 and 45,618

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Solution

The third proportional to 29,682 and 45,618 is: 70,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682 : 45,618 = 45,618 : x
  2. Step 2: Convert to fraction form
    29,682/45,618 = 45,618/x
  3. Step 3: Cross multiply
    29,682x = 45,618 × 45,618
  4. Step 4: Simplify right side
    29,682x = 2,081,001,924
  5. Step 5: Solve for x
    x = 2,081,001,924/29,682
  6. Step 6: Final answer
    x = 70,109.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.