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Finding the Third Proportional to 46,948 and 73,779

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Solution

The third proportional to 46,948 and 73,779 is: 115,944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,948 : 73,779 = 73,779 : x
  2. Step 2: Convert to fraction form
    46,948/73,779 = 73,779/x
  3. Step 3: Cross multiply
    46,948x = 73,779 × 73,779
  4. Step 4: Simplify right side
    46,948x = 5,443,340,841
  5. Step 5: Solve for x
    x = 5,443,340,841/46,948
  6. Step 6: Final answer
    x = 115,944.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.