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Finding the Third Proportional to 9,280.13 and 20,225.63

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Solution

The third proportional to 9,280.13 and 20,225.63 is: 44,080.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.13 : 20,225.63 = 20,225.63 : x
  2. Step 2: Convert to fraction form
    9,280.13/20,225.63 = 20,225.63/x
  3. Step 3: Cross multiply
    9,280.13x = 20,225.63 × 20,225.63
  4. Step 4: Simplify right side
    9,280.13x = 409,075,906.64
  5. Step 5: Solve for x
    x = 409,075,906.64/9,280.13
  6. Step 6: Final answer
    x = 44,080.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.