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Finding the Third Proportional to 36,501.26 and 78,470.02

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Solution

The third proportional to 36,501.26 and 78,470.02 is: 168,694.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,501.26 : 78,470.02 = 78,470.02 : x
  2. Step 2: Convert to fraction form
    36,501.26/78,470.02 = 78,470.02/x
  3. Step 3: Cross multiply
    36,501.26x = 78,470.02 × 78,470.02
  4. Step 4: Simplify right side
    36,501.26x = 6,157,543,352.19
  5. Step 5: Solve for x
    x = 6,157,543,352.19/36,501.26
  6. Step 6: Final answer
    x = 168,694.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.