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Finding the Third Proportional to 13,461.50 and 27,594.75

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Solution

The third proportional to 13,461.50 and 27,594.75 is: 56,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.50 : 27,594.75 = 27,594.75 : x
  2. Step 2: Convert to fraction form
    13,461.50/27,594.75 = 27,594.75/x
  3. Step 3: Cross multiply
    13,461.50x = 27,594.75 × 27,594.75
  4. Step 4: Simplify right side
    13,461.50x = 761,470,227.56
  5. Step 5: Solve for x
    x = 761,470,227.56/13,461.50
  6. Step 6: Final answer
    x = 56,566.52

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.