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Finding the Third Proportional to 13,683.75 and 22,341.75

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Solution

The third proportional to 13,683.75 and 22,341.75 is: 36,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.75 : 22,341.75 = 22,341.75 : x
  2. Step 2: Convert to fraction form
    13,683.75/22,341.75 = 22,341.75/x
  3. Step 3: Cross multiply
    13,683.75x = 22,341.75 × 22,341.75
  4. Step 4: Simplify right side
    13,683.75x = 499,153,793.06
  5. Step 5: Solve for x
    x = 499,153,793.06/13,683.75
  6. Step 6: Final answer
    x = 36,477.85

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.