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Finding the Third Proportional to 46,392.75 and 70,021.13

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Solution

The third proportional to 46,392.75 and 70,021.13 is: 105,683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,392.75 : 70,021.13 = 70,021.13 : x
  2. Step 2: Convert to fraction form
    46,392.75/70,021.13 = 70,021.13/x
  3. Step 3: Cross multiply
    46,392.75x = 70,021.13 × 70,021.13
  4. Step 4: Simplify right side
    46,392.75x = 4,902,957,946.27
  5. Step 5: Solve for x
    x = 4,902,957,946.27/46,392.75
  6. Step 6: Final answer
    x = 105,683.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.