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Finding the Third Proportional to 30,865.50 and 44,113.50

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Solution

The third proportional to 30,865.50 and 44,113.50 is: 63,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,865.50 : 44,113.50 = 44,113.50 : x
  2. Step 2: Convert to fraction form
    30,865.50/44,113.50 = 44,113.50/x
  3. Step 3: Cross multiply
    30,865.50x = 44,113.50 × 44,113.50
  4. Step 4: Simplify right side
    30,865.50x = 1,946,000,882.25
  5. Step 5: Solve for x
    x = 1,946,000,882.25/30,865.50
  6. Step 6: Final answer
    x = 63,047.77

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.