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Finding the Third Proportional to 27,307.13 and 31,817.81

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Solution

The third proportional to 27,307.13 and 31,817.81 is: 37,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,307.13 : 31,817.81 = 31,817.81 : x
  2. Step 2: Convert to fraction form
    27,307.13/31,817.81 = 31,817.81/x
  3. Step 3: Cross multiply
    27,307.13x = 31,817.81 × 31,817.81
  4. Step 4: Simplify right side
    27,307.13x = 1,012,373,192.29
  5. Step 5: Solve for x
    x = 1,012,373,192.29/27,307.13
  6. Step 6: Final answer
    x = 37,073.59

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.