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Finding the Third Proportional to 48,013.50 and 72,683.63

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Solution

The third proportional to 48,013.50 and 72,683.63 is: 110,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,013.50 : 72,683.63 = 72,683.63 : x
  2. Step 2: Convert to fraction form
    48,013.50/72,683.63 = 72,683.63/x
  3. Step 3: Cross multiply
    48,013.50x = 72,683.63 × 72,683.63
  4. Step 4: Simplify right side
    48,013.50x = 5,282,909,343.14
  5. Step 5: Solve for x
    x = 5,282,909,343.14/48,013.50
  6. Step 6: Final answer
    x = 110,029.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.