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Finding the Third Proportional to 46,316.25 and 66,921.75

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Solution

The third proportional to 46,316.25 and 66,921.75 is: 96,694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,316.25 : 66,921.75 = 66,921.75 : x
  2. Step 2: Convert to fraction form
    46,316.25/66,921.75 = 66,921.75/x
  3. Step 3: Cross multiply
    46,316.25x = 66,921.75 × 66,921.75
  4. Step 4: Simplify right side
    46,316.25x = 4,478,520,623.06
  5. Step 5: Solve for x
    x = 4,478,520,623.06/46,316.25
  6. Step 6: Final answer
    x = 96,694.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.