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Finding the Third Proportional to 35,683.50 and 54,869.50

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Solution

The third proportional to 35,683.50 and 54,869.50 is: 84,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,683.50 : 54,869.50 = 54,869.50 : x
  2. Step 2: Convert to fraction form
    35,683.50/54,869.50 = 54,869.50/x
  3. Step 3: Cross multiply
    35,683.50x = 54,869.50 × 54,869.50
  4. Step 4: Simplify right side
    35,683.50x = 3,010,662,030.25
  5. Step 5: Solve for x
    x = 3,010,662,030.25/35,683.50
  6. Step 6: Final answer
    x = 84,371.26

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