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Finding the Third Proportional to 12,157.59 and 26,168.06

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Solution

The third proportional to 12,157.59 and 26,168.06 is: 56,324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.59 : 26,168.06 = 26,168.06 : x
  2. Step 2: Convert to fraction form
    12,157.59/26,168.06 = 26,168.06/x
  3. Step 3: Cross multiply
    12,157.59x = 26,168.06 × 26,168.06
  4. Step 4: Simplify right side
    12,157.59x = 684,767,495.00
  5. Step 5: Solve for x
    x = 684,767,495.00/12,157.59
  6. Step 6: Final answer
    x = 56,324.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.