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Finding the Third Proportional to 32,486.06 and 39,411.56

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Solution

The third proportional to 32,486.06 and 39,411.56 is: 47,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,486.06 : 39,411.56 = 39,411.56 : x
  2. Step 2: Convert to fraction form
    32,486.06/39,411.56 = 39,411.56/x
  3. Step 3: Cross multiply
    32,486.06x = 39,411.56 × 39,411.56
  4. Step 4: Simplify right side
    32,486.06x = 1,553,271,258.69
  5. Step 5: Solve for x
    x = 1,553,271,258.69/32,486.06
  6. Step 6: Final answer
    x = 47,813.47

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.