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Finding the Third Proportional to 31,119 and 41,926.50

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Solution

The third proportional to 31,119 and 41,926.50 is: 56,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,119 : 41,926.50 = 41,926.50 : x
  2. Step 2: Convert to fraction form
    31,119/41,926.50 = 41,926.50/x
  3. Step 3: Cross multiply
    31,119x = 41,926.50 × 41,926.50
  4. Step 4: Simplify right side
    31,119x = 1,757,831,402.25
  5. Step 5: Solve for x
    x = 1,757,831,402.25/31,119
  6. Step 6: Final answer
    x = 56,487.40

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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.