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Finding the Third Proportional to 13,465.24 and 21,511.54

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Solution

The third proportional to 13,465.24 and 21,511.54 is: 34,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.24 : 21,511.54 = 21,511.54 : x
  2. Step 2: Convert to fraction form
    13,465.24/21,511.54 = 21,511.54/x
  3. Step 3: Cross multiply
    13,465.24x = 21,511.54 × 21,511.54
  4. Step 4: Simplify right side
    13,465.24x = 462,746,239.80
  5. Step 5: Solve for x
    x = 462,746,239.80/13,465.24
  6. Step 6: Final answer
    x = 34,365.99

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.