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Finding the Third Proportional to 7,798.50 and 18,803.25

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Solution

The third proportional to 7,798.50 and 18,803.25 is: 45,337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.50 : 18,803.25 = 18,803.25 : x
  2. Step 2: Convert to fraction form
    7,798.50/18,803.25 = 18,803.25/x
  3. Step 3: Cross multiply
    7,798.50x = 18,803.25 × 18,803.25
  4. Step 4: Simplify right side
    7,798.50x = 353,562,210.56
  5. Step 5: Solve for x
    x = 353,562,210.56/7,798.50
  6. Step 6: Final answer
    x = 45,337.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.