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Finding the Third Proportional to 9,097.75 and 19,887.50

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Solution

The third proportional to 9,097.75 and 19,887.50 is: 43,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.75 : 19,887.50 = 19,887.50 : x
  2. Step 2: Convert to fraction form
    9,097.75/19,887.50 = 19,887.50/x
  3. Step 3: Cross multiply
    9,097.75x = 19,887.50 × 19,887.50
  4. Step 4: Simplify right side
    9,097.75x = 395,512,656.25
  5. Step 5: Solve for x
    x = 395,512,656.25/9,097.75
  6. Step 6: Final answer
    x = 43,473.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.