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Finding the Third Proportional to 29,618 and 46,892

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Solution

The third proportional to 29,618 and 46,892 is: 74,240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,618 : 46,892 = 46,892 : x
  2. Step 2: Convert to fraction form
    29,618/46,892 = 46,892/x
  3. Step 3: Cross multiply
    29,618x = 46,892 × 46,892
  4. Step 4: Simplify right side
    29,618x = 2,198,859,664
  5. Step 5: Solve for x
    x = 2,198,859,664/29,618
  6. Step 6: Final answer
    x = 74,240.65

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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.