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Finding the Third Proportional to 9,114.25 and 14,278.88

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Solution

The third proportional to 9,114.25 and 14,278.88 is: 22,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.25 : 14,278.88 = 14,278.88 : x
  2. Step 2: Convert to fraction form
    9,114.25/14,278.88 = 14,278.88/x
  3. Step 3: Cross multiply
    9,114.25x = 14,278.88 × 14,278.88
  4. Step 4: Simplify right side
    9,114.25x = 203,886,271.27
  5. Step 5: Solve for x
    x = 203,886,271.27/9,114.25
  6. Step 6: Final answer
    x = 22,370.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.