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Finding the Third Proportional to 34,731 and 74,483

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Solution

The third proportional to 34,731 and 74,483 is: 159,733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,731 : 74,483 = 74,483 : x
  2. Step 2: Convert to fraction form
    34,731/74,483 = 74,483/x
  3. Step 3: Cross multiply
    34,731x = 74,483 × 74,483
  4. Step 4: Simplify right side
    34,731x = 5,547,717,289
  5. Step 5: Solve for x
    x = 5,547,717,289/34,731
  6. Step 6: Final answer
    x = 159,733.88

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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.