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Finding the Third Proportional to 7,666.31 and 17,097.75

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Solution

The third proportional to 7,666.31 and 17,097.75 is: 38,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.31 : 17,097.75 = 17,097.75 : x
  2. Step 2: Convert to fraction form
    7,666.31/17,097.75 = 17,097.75/x
  3. Step 3: Cross multiply
    7,666.31x = 17,097.75 × 17,097.75
  4. Step 4: Simplify right side
    7,666.31x = 292,333,055.06
  5. Step 5: Solve for x
    x = 292,333,055.06/7,666.31
  6. Step 6: Final answer
    x = 38,132.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.