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Finding the Third Proportional to 7,894.34 and 17,053.66

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Solution

The third proportional to 7,894.34 and 17,053.66 is: 36,840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.34 : 17,053.66 = 17,053.66 : x
  2. Step 2: Convert to fraction form
    7,894.34/17,053.66 = 17,053.66/x
  3. Step 3: Cross multiply
    7,894.34x = 17,053.66 × 17,053.66
  4. Step 4: Simplify right side
    7,894.34x = 290,827,457.96
  5. Step 5: Solve for x
    x = 290,827,457.96/7,894.34
  6. Step 6: Final answer
    x = 36,840.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.