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Finding the Third Proportional to 19,466.58 and 29,769.40

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Solution

The third proportional to 19,466.58 and 29,769.40 is: 45,525.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,466.58 : 29,769.40 = 29,769.40 : x
  2. Step 2: Convert to fraction form
    19,466.58/29,769.40 = 29,769.40/x
  3. Step 3: Cross multiply
    19,466.58x = 29,769.40 × 29,769.40
  4. Step 4: Simplify right side
    19,466.58x = 886,217,083.33
  5. Step 5: Solve for x
    x = 886,217,083.33/19,466.58
  6. Step 6: Final answer
    x = 45,525.06

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.