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Finding the Third Proportional to 23,631.75 and 36,483.75

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Solution

The third proportional to 23,631.75 and 36,483.75 is: 56,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,631.75 : 36,483.75 = 36,483.75 : x
  2. Step 2: Convert to fraction form
    23,631.75/36,483.75 = 36,483.75/x
  3. Step 3: Cross multiply
    23,631.75x = 36,483.75 × 36,483.75
  4. Step 4: Simplify right side
    23,631.75x = 1,331,064,014.06
  5. Step 5: Solve for x
    x = 1,331,064,014.06/23,631.75
  6. Step 6: Final answer
    x = 56,325.24

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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.