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Finding the Third Proportional to 23,580 and 49,779

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Solution

The third proportional to 23,580 and 49,779 is: 105,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580 : 49,779 = 49,779 : x
  2. Step 2: Convert to fraction form
    23,580/49,779 = 49,779/x
  3. Step 3: Cross multiply
    23,580x = 49,779 × 49,779
  4. Step 4: Simplify right side
    23,580x = 2,477,948,841
  5. Step 5: Solve for x
    x = 2,477,948,841/23,580
  6. Step 6: Final answer
    x = 105,086.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.