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Finding the Third Proportional to 26,640 and 42,403.50

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Solution

The third proportional to 26,640 and 42,403.50 is: 67,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,640 : 42,403.50 = 42,403.50 : x
  2. Step 2: Convert to fraction form
    26,640/42,403.50 = 42,403.50/x
  3. Step 3: Cross multiply
    26,640x = 42,403.50 × 42,403.50
  4. Step 4: Simplify right side
    26,640x = 1,798,056,812.25
  5. Step 5: Solve for x
    x = 1,798,056,812.25/26,640
  6. Step 6: Final answer
    x = 67,494.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.