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Finding the Third Proportional to 11,314.13 and 17,501.06

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Solution

The third proportional to 11,314.13 and 17,501.06 is: 27,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.13 : 17,501.06 = 17,501.06 : x
  2. Step 2: Convert to fraction form
    11,314.13/17,501.06 = 17,501.06/x
  3. Step 3: Cross multiply
    11,314.13x = 17,501.06 × 17,501.06
  4. Step 4: Simplify right side
    11,314.13x = 306,287,188.63
  5. Step 5: Solve for x
    x = 306,287,188.63/11,314.13
  6. Step 6: Final answer
    x = 27,071.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.