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Finding the Third Proportional to 30,105 and 42,997.50

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Solution

The third proportional to 30,105 and 42,997.50 is: 61,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,105 : 42,997.50 = 42,997.50 : x
  2. Step 2: Convert to fraction form
    30,105/42,997.50 = 42,997.50/x
  3. Step 3: Cross multiply
    30,105x = 42,997.50 × 42,997.50
  4. Step 4: Simplify right side
    30,105x = 1,848,785,006.25
  5. Step 5: Solve for x
    x = 1,848,785,006.25/30,105
  6. Step 6: Final answer
    x = 61,411.23

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.