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Finding the Third Proportional to 15,700.50 and 23,280.75

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Solution

The third proportional to 15,700.50 and 23,280.75 is: 34,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700.50 : 23,280.75 = 23,280.75 : x
  2. Step 2: Convert to fraction form
    15,700.50/23,280.75 = 23,280.75/x
  3. Step 3: Cross multiply
    15,700.50x = 23,280.75 × 23,280.75
  4. Step 4: Simplify right side
    15,700.50x = 541,993,320.56
  5. Step 5: Solve for x
    x = 541,993,320.56/15,700.50
  6. Step 6: Final answer
    x = 34,520.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.