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Finding the Third Proportional to 13,509.84 and 21,582.38

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Solution

The third proportional to 13,509.84 and 21,582.38 is: 34,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.84 : 21,582.38 = 21,582.38 : x
  2. Step 2: Convert to fraction form
    13,509.84/21,582.38 = 21,582.38/x
  3. Step 3: Cross multiply
    13,509.84x = 21,582.38 × 21,582.38
  4. Step 4: Simplify right side
    13,509.84x = 465,798,910.64
  5. Step 5: Solve for x
    x = 465,798,910.64/13,509.84
  6. Step 6: Final answer
    x = 34,478.48

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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.