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Finding the Third Proportional to 31,329 and 42,961.50

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Solution

The third proportional to 31,329 and 42,961.50 is: 58,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,329 : 42,961.50 = 42,961.50 : x
  2. Step 2: Convert to fraction form
    31,329/42,961.50 = 42,961.50/x
  3. Step 3: Cross multiply
    31,329x = 42,961.50 × 42,961.50
  4. Step 4: Simplify right side
    31,329x = 1,845,690,482.25
  5. Step 5: Solve for x
    x = 1,845,690,482.25/31,329
  6. Step 6: Final answer
    x = 58,913.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.