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Finding the Third Proportional to 31,692.52 and 42,688.27

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Solution

The third proportional to 31,692.52 and 42,688.27 is: 57,499.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692.52 : 42,688.27 = 42,688.27 : x
  2. Step 2: Convert to fraction form
    31,692.52/42,688.27 = 42,688.27/x
  3. Step 3: Cross multiply
    31,692.52x = 42,688.27 × 42,688.27
  4. Step 4: Simplify right side
    31,692.52x = 1,822,288,022.07
  5. Step 5: Solve for x
    x = 1,822,288,022.07/31,692.52
  6. Step 6: Final answer
    x = 57,499.00

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.