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Finding the Third Proportional to 49,412 and 72,813

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Solution

The third proportional to 49,412 and 72,813 is: 107,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,412 : 72,813 = 72,813 : x
  2. Step 2: Convert to fraction form
    49,412/72,813 = 72,813/x
  3. Step 3: Cross multiply
    49,412x = 72,813 × 72,813
  4. Step 4: Simplify right side
    49,412x = 5,301,732,969
  5. Step 5: Solve for x
    x = 5,301,732,969/49,412
  6. Step 6: Final answer
    x = 107,296.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.