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Finding the Third Proportional to 37,715.06 and 78,530.06

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Solution

The third proportional to 37,715.06 and 78,530.06 is: 163,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,715.06 : 78,530.06 = 78,530.06 : x
  2. Step 2: Convert to fraction form
    37,715.06/78,530.06 = 78,530.06/x
  3. Step 3: Cross multiply
    37,715.06x = 78,530.06 × 78,530.06
  4. Step 4: Simplify right side
    37,715.06x = 6,166,970,716.25
  5. Step 5: Solve for x
    x = 6,166,970,716.25/37,715.06
  6. Step 6: Final answer
    x = 163,514.80

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.