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Finding the Third Proportional to 23,009.75 and 36,368.75

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Solution

The third proportional to 23,009.75 and 36,368.75 is: 57,483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.75 : 36,368.75 = 36,368.75 : x
  2. Step 2: Convert to fraction form
    23,009.75/36,368.75 = 36,368.75/x
  3. Step 3: Cross multiply
    23,009.75x = 36,368.75 × 36,368.75
  4. Step 4: Simplify right side
    23,009.75x = 1,322,685,976.56
  5. Step 5: Solve for x
    x = 1,322,685,976.56/23,009.75
  6. Step 6: Final answer
    x = 57,483.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.