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Finding the Third Proportional to 13,582.50 and 21,467.25

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Solution

The third proportional to 13,582.50 and 21,467.25 is: 33,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.50 : 21,467.25 = 21,467.25 : x
  2. Step 2: Convert to fraction form
    13,582.50/21,467.25 = 21,467.25/x
  3. Step 3: Cross multiply
    13,582.50x = 21,467.25 × 21,467.25
  4. Step 4: Simplify right side
    13,582.50x = 460,842,822.56
  5. Step 5: Solve for x
    x = 460,842,822.56/13,582.50
  6. Step 6: Final answer
    x = 33,929.16

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.