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Finding the Third Proportional to 32,283.75 and 47,140.50

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Solution

The third proportional to 32,283.75 and 47,140.50 is: 68,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,283.75 : 47,140.50 = 47,140.50 : x
  2. Step 2: Convert to fraction form
    32,283.75/47,140.50 = 47,140.50/x
  3. Step 3: Cross multiply
    32,283.75x = 47,140.50 × 47,140.50
  4. Step 4: Simplify right side
    32,283.75x = 2,222,226,740.25
  5. Step 5: Solve for x
    x = 2,222,226,740.25/32,283.75
  6. Step 6: Final answer
    x = 68,834.22

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.