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Finding the Third Proportional to 49,566 and 75,513

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Solution

The third proportional to 49,566 and 75,513 is: 115,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,566 : 75,513 = 75,513 : x
  2. Step 2: Convert to fraction form
    49,566/75,513 = 75,513/x
  3. Step 3: Cross multiply
    49,566x = 75,513 × 75,513
  4. Step 4: Simplify right side
    49,566x = 5,702,213,169
  5. Step 5: Solve for x
    x = 5,702,213,169/49,566
  6. Step 6: Final answer
    x = 115,042.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.