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Finding the Third Proportional to 13,510.69 and 21,583.69

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Solution

The third proportional to 13,510.69 and 21,583.69 is: 34,480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.69 : 21,583.69 = 21,583.69 : x
  2. Step 2: Convert to fraction form
    13,510.69/21,583.69 = 21,583.69/x
  3. Step 3: Cross multiply
    13,510.69x = 21,583.69 × 21,583.69
  4. Step 4: Simplify right side
    13,510.69x = 465,855,566.10
  5. Step 5: Solve for x
    x = 465,855,566.10/13,510.69
  6. Step 6: Final answer
    x = 34,480.52

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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.