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Finding the Third Proportional to 42,927.75 and 64,847.25

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Solution

The third proportional to 42,927.75 and 64,847.25 is: 97,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,927.75 : 64,847.25 = 64,847.25 : x
  2. Step 2: Convert to fraction form
    42,927.75/64,847.25 = 64,847.25/x
  3. Step 3: Cross multiply
    42,927.75x = 64,847.25 × 64,847.25
  4. Step 4: Simplify right side
    42,927.75x = 4,205,165,832.56
  5. Step 5: Solve for x
    x = 4,205,165,832.56/42,927.75
  6. Step 6: Final answer
    x = 97,959.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.