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Finding the Third Proportional to 39,683.50 and 53,894.50

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Solution

The third proportional to 39,683.50 and 53,894.50 is: 73,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,683.50 : 53,894.50 = 53,894.50 : x
  2. Step 2: Convert to fraction form
    39,683.50/53,894.50 = 53,894.50/x
  3. Step 3: Cross multiply
    39,683.50x = 53,894.50 × 53,894.50
  4. Step 4: Simplify right side
    39,683.50x = 2,904,617,130.25
  5. Step 5: Solve for x
    x = 2,904,617,130.25/39,683.50
  6. Step 6: Final answer
    x = 73,194.58

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.