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Finding the Third Proportional to 9,129.75 and 14,097.75

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Solution

The third proportional to 9,129.75 and 14,097.75 is: 21,769.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.75 : 14,097.75 = 14,097.75 : x
  2. Step 2: Convert to fraction form
    9,129.75/14,097.75 = 14,097.75/x
  3. Step 3: Cross multiply
    9,129.75x = 14,097.75 × 14,097.75
  4. Step 4: Simplify right side
    9,129.75x = 198,746,555.06
  5. Step 5: Solve for x
    x = 198,746,555.06/9,129.75
  6. Step 6: Final answer
    x = 21,769.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.