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Finding the Third Proportional to 26,005.50 and 41,384.50

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Solution

The third proportional to 26,005.50 and 41,384.50 is: 65,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,005.50 : 41,384.50 = 41,384.50 : x
  2. Step 2: Convert to fraction form
    26,005.50/41,384.50 = 41,384.50/x
  3. Step 3: Cross multiply
    26,005.50x = 41,384.50 × 41,384.50
  4. Step 4: Simplify right side
    26,005.50x = 1,712,676,840.25
  5. Step 5: Solve for x
    x = 1,712,676,840.25/26,005.50
  6. Step 6: Final answer
    x = 65,858.25

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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.