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Finding the Third Proportional to 11,985.75 and 26,157.38

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Solution

The third proportional to 11,985.75 and 26,157.38 is: 57,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.75 : 26,157.38 = 26,157.38 : x
  2. Step 2: Convert to fraction form
    11,985.75/26,157.38 = 26,157.38/x
  3. Step 3: Cross multiply
    11,985.75x = 26,157.38 × 26,157.38
  4. Step 4: Simplify right side
    11,985.75x = 684,208,266.89
  5. Step 5: Solve for x
    x = 684,208,266.89/11,985.75
  6. Step 6: Final answer
    x = 57,085.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.