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Finding the Third Proportional to 37,175.63 and 77,986.13

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Solution

The third proportional to 37,175.63 and 77,986.13 is: 163,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,175.63 : 77,986.13 = 77,986.13 : x
  2. Step 2: Convert to fraction form
    37,175.63/77,986.13 = 77,986.13/x
  3. Step 3: Cross multiply
    37,175.63x = 77,986.13 × 77,986.13
  4. Step 4: Simplify right side
    37,175.63x = 6,081,835,692.52
  5. Step 5: Solve for x
    x = 6,081,835,692.52/37,175.63
  6. Step 6: Final answer
    x = 163,597.40

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.