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Finding the Third Proportional to 7,983.40 and 17,060.31

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Solution

The third proportional to 7,983.40 and 17,060.31 is: 36,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.40 : 17,060.31 = 17,060.31 : x
  2. Step 2: Convert to fraction form
    7,983.40/17,060.31 = 17,060.31/x
  3. Step 3: Cross multiply
    7,983.40x = 17,060.31 × 17,060.31
  4. Step 4: Simplify right side
    7,983.40x = 291,054,129.31
  5. Step 5: Solve for x
    x = 291,054,129.31/7,983.40
  6. Step 6: Final answer
    x = 36,457.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.