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Finding the Third Proportional to 34,860 and 52,618

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Solution

The third proportional to 34,860 and 52,618 is: 79,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,860 : 52,618 = 52,618 : x
  2. Step 2: Convert to fraction form
    34,860/52,618 = 52,618/x
  3. Step 3: Cross multiply
    34,860x = 52,618 × 52,618
  4. Step 4: Simplify right side
    34,860x = 2,768,653,924
  5. Step 5: Solve for x
    x = 2,768,653,924/34,860
  6. Step 6: Final answer
    x = 79,422.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.