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Finding the Third Proportional to 31,438.13 and 42,008.63

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Solution

The third proportional to 31,438.13 and 42,008.63 is: 56,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438.13 : 42,008.63 = 42,008.63 : x
  2. Step 2: Convert to fraction form
    31,438.13/42,008.63 = 42,008.63/x
  3. Step 3: Cross multiply
    31,438.13x = 42,008.63 × 42,008.63
  4. Step 4: Simplify right side
    31,438.13x = 1,764,724,574.39
  5. Step 5: Solve for x
    x = 1,764,724,574.39/31,438.13
  6. Step 6: Final answer
    x = 56,133.26

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.