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Finding the Third Proportional to 7,860.80 and 17,053.03

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Solution

The third proportional to 7,860.80 and 17,053.03 is: 36,994.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.80 : 17,053.03 = 17,053.03 : x
  2. Step 2: Convert to fraction form
    7,860.80/17,053.03 = 17,053.03/x
  3. Step 3: Cross multiply
    7,860.80x = 17,053.03 × 17,053.03
  4. Step 4: Simplify right side
    7,860.80x = 290,805,874.81
  5. Step 5: Solve for x
    x = 290,805,874.81/7,860.80
  6. Step 6: Final answer
    x = 36,994.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.