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Finding the Third Proportional to 26,498.50 and 56,064.50

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Solution

The third proportional to 26,498.50 and 56,064.50 is: 118,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,498.50 : 56,064.50 = 56,064.50 : x
  2. Step 2: Convert to fraction form
    26,498.50/56,064.50 = 56,064.50/x
  3. Step 3: Cross multiply
    26,498.50x = 56,064.50 × 56,064.50
  4. Step 4: Simplify right side
    26,498.50x = 3,143,228,160.25
  5. Step 5: Solve for x
    x = 3,143,228,160.25/26,498.50
  6. Step 6: Final answer
    x = 118,619.10

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.