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Finding the Third Proportional to 26,822 and 58,124.50

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Solution

The third proportional to 26,822 and 58,124.50 is: 125,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,822 : 58,124.50 = 58,124.50 : x
  2. Step 2: Convert to fraction form
    26,822/58,124.50 = 58,124.50/x
  3. Step 3: Cross multiply
    26,822x = 58,124.50 × 58,124.50
  4. Step 4: Simplify right side
    26,822x = 3,378,457,500.25
  5. Step 5: Solve for x
    x = 3,378,457,500.25/26,822
  6. Step 6: Final answer
    x = 125,958.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.