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Finding the Third Proportional to 7,777.13 and 17,066.25

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Solution

The third proportional to 7,777.13 and 17,066.25 is: 37,450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.13 : 17,066.25 = 17,066.25 : x
  2. Step 2: Convert to fraction form
    7,777.13/17,066.25 = 17,066.25/x
  3. Step 3: Cross multiply
    7,777.13x = 17,066.25 × 17,066.25
  4. Step 4: Simplify right side
    7,777.13x = 291,256,889.06
  5. Step 5: Solve for x
    x = 291,256,889.06/7,777.13
  6. Step 6: Final answer
    x = 37,450.46

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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.