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Finding the Third Proportional to 45,380.25 and 63,473.63

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Solution

The third proportional to 45,380.25 and 63,473.63 is: 88,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,380.25 : 63,473.63 = 63,473.63 : x
  2. Step 2: Convert to fraction form
    45,380.25/63,473.63 = 63,473.63/x
  3. Step 3: Cross multiply
    45,380.25x = 63,473.63 × 63,473.63
  4. Step 4: Simplify right side
    45,380.25x = 4,028,901,070.64
  5. Step 5: Solve for x
    x = 4,028,901,070.64/45,380.25
  6. Step 6: Final answer
    x = 88,780.94

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.