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Finding the Third Proportional to 26,746.50 and 42,389.25

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Solution

The third proportional to 26,746.50 and 42,389.25 is: 67,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,746.50 : 42,389.25 = 42,389.25 : x
  2. Step 2: Convert to fraction form
    26,746.50/42,389.25 = 42,389.25/x
  3. Step 3: Cross multiply
    26,746.50x = 42,389.25 × 42,389.25
  4. Step 4: Simplify right side
    26,746.50x = 1,796,848,515.56
  5. Step 5: Solve for x
    x = 1,796,848,515.56/26,746.50
  6. Step 6: Final answer
    x = 67,180.70

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.