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Finding the Third Proportional to 32,000.06 and 42,509.81

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Solution

The third proportional to 32,000.06 and 42,509.81 is: 56,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.06 : 42,509.81 = 42,509.81 : x
  2. Step 2: Convert to fraction form
    32,000.06/42,509.81 = 42,509.81/x
  3. Step 3: Cross multiply
    32,000.06x = 42,509.81 × 42,509.81
  4. Step 4: Simplify right side
    32,000.06x = 1,807,084,158.79
  5. Step 5: Solve for x
    x = 1,807,084,158.79/32,000.06
  6. Step 6: Final answer
    x = 56,471.27

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.