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Finding the Third Proportional to 22,779.75 and 47,862

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Solution

The third proportional to 22,779.75 and 47,862 is: 100,561.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,779.75 : 47,862 = 47,862 : x
  2. Step 2: Convert to fraction form
    22,779.75/47,862 = 47,862/x
  3. Step 3: Cross multiply
    22,779.75x = 47,862 × 47,862
  4. Step 4: Simplify right side
    22,779.75x = 2,290,771,044
  5. Step 5: Solve for x
    x = 2,290,771,044/22,779.75
  6. Step 6: Final answer
    x = 100,561.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.