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Finding the Third Proportional to 36,336.09 and 77,925.80

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Solution

The third proportional to 36,336.09 and 77,925.80 is: 167,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,336.09 : 77,925.80 = 77,925.80 : x
  2. Step 2: Convert to fraction form
    36,336.09/77,925.80 = 77,925.80/x
  3. Step 3: Cross multiply
    36,336.09x = 77,925.80 × 77,925.80
  4. Step 4: Simplify right side
    36,336.09x = 6,072,429,818.60
  5. Step 5: Solve for x
    x = 6,072,429,818.60/36,336.09
  6. Step 6: Final answer
    x = 167,118.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.