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Finding the Third Proportional to 7,852.78 and 17,088.47

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Solution

The third proportional to 7,852.78 and 17,088.47 is: 37,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.78 : 17,088.47 = 17,088.47 : x
  2. Step 2: Convert to fraction form
    7,852.78/17,088.47 = 17,088.47/x
  3. Step 3: Cross multiply
    7,852.78x = 17,088.47 × 17,088.47
  4. Step 4: Simplify right side
    7,852.78x = 292,015,764.22
  5. Step 5: Solve for x
    x = 292,015,764.22/7,852.78
  6. Step 6: Final answer
    x = 37,186.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.