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Finding the Third Proportional to 15,317.86 and 23,659.59

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Solution

The third proportional to 15,317.86 and 23,659.59 is: 36,544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,317.86 : 23,659.59 = 23,659.59 : x
  2. Step 2: Convert to fraction form
    15,317.86/23,659.59 = 23,659.59/x
  3. Step 3: Cross multiply
    15,317.86x = 23,659.59 × 23,659.59
  4. Step 4: Simplify right side
    15,317.86x = 559,776,376.42
  5. Step 5: Solve for x
    x = 559,776,376.42/15,317.86
  6. Step 6: Final answer
    x = 36,544.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.