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Finding the Third Proportional to 45,867.63 and 64,591.63

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Solution

The third proportional to 45,867.63 and 64,591.63 is: 90,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,867.63 : 64,591.63 = 64,591.63 : x
  2. Step 2: Convert to fraction form
    45,867.63/64,591.63 = 64,591.63/x
  3. Step 3: Cross multiply
    45,867.63x = 64,591.63 × 64,591.63
  4. Step 4: Simplify right side
    45,867.63x = 4,172,078,020.14
  5. Step 5: Solve for x
    x = 4,172,078,020.14/45,867.63
  6. Step 6: Final answer
    x = 90,959.10

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.