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Finding the Third Proportional to 49,006 and 71,618

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Solution

The third proportional to 49,006 and 71,618 is: 104,663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,006 : 71,618 = 71,618 : x
  2. Step 2: Convert to fraction form
    49,006/71,618 = 71,618/x
  3. Step 3: Cross multiply
    49,006x = 71,618 × 71,618
  4. Step 4: Simplify right side
    49,006x = 5,129,137,924
  5. Step 5: Solve for x
    x = 5,129,137,924/49,006
  6. Step 6: Final answer
    x = 104,663.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.