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Finding the Third Proportional to 46,806.75 and 75,402.75

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Solution

The third proportional to 46,806.75 and 75,402.75 is: 121,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,806.75 : 75,402.75 = 75,402.75 : x
  2. Step 2: Convert to fraction form
    46,806.75/75,402.75 = 75,402.75/x
  3. Step 3: Cross multiply
    46,806.75x = 75,402.75 × 75,402.75
  4. Step 4: Simplify right side
    46,806.75x = 5,685,574,707.56
  5. Step 5: Solve for x
    x = 5,685,574,707.56/46,806.75
  6. Step 6: Final answer
    x = 121,469.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.