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Finding the Third Proportional to 38,476 and 83,513

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Solution

The third proportional to 38,476 and 83,513 is: 181,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476 : 83,513 = 83,513 : x
  2. Step 2: Convert to fraction form
    38,476/83,513 = 83,513/x
  3. Step 3: Cross multiply
    38,476x = 83,513 × 83,513
  4. Step 4: Simplify right side
    38,476x = 6,974,421,169
  5. Step 5: Solve for x
    x = 6,974,421,169/38,476
  6. Step 6: Final answer
    x = 181,266.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.