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Finding the Third Proportional to 46,948 and 72,809

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Solution

The third proportional to 46,948 and 72,809 is: 112,915.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,948 : 72,809 = 72,809 : x
  2. Step 2: Convert to fraction form
    46,948/72,809 = 72,809/x
  3. Step 3: Cross multiply
    46,948x = 72,809 × 72,809
  4. Step 4: Simplify right side
    46,948x = 5,301,150,481
  5. Step 5: Solve for x
    x = 5,301,150,481/46,948
  6. Step 6: Final answer
    x = 112,915.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.