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Finding the Third Proportional to 13,537.13 and 21,632.06

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Solution

The third proportional to 13,537.13 and 21,632.06 is: 34,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.13 : 21,632.06 = 21,632.06 : x
  2. Step 2: Convert to fraction form
    13,537.13/21,632.06 = 21,632.06/x
  3. Step 3: Cross multiply
    13,537.13x = 21,632.06 × 21,632.06
  4. Step 4: Simplify right side
    13,537.13x = 467,946,128.00
  5. Step 5: Solve for x
    x = 467,946,128.00/13,537.13
  6. Step 6: Final answer
    x = 34,567.62

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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.