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Finding the Third Proportional to 42,703.50 and 60,832.50

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Solution

The third proportional to 42,703.50 and 60,832.50 is: 86,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,703.50 : 60,832.50 = 60,832.50 : x
  2. Step 2: Convert to fraction form
    42,703.50/60,832.50 = 60,832.50/x
  3. Step 3: Cross multiply
    42,703.50x = 60,832.50 × 60,832.50
  4. Step 4: Simplify right side
    42,703.50x = 3,700,593,056.25
  5. Step 5: Solve for x
    x = 3,700,593,056.25/42,703.50
  6. Step 6: Final answer
    x = 86,657.84

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.