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Finding the Third Proportional to 7,355.06 and 15,985.13

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Solution

The third proportional to 7,355.06 and 15,985.13 is: 34,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,355.06 : 15,985.13 = 15,985.13 : x
  2. Step 2: Convert to fraction form
    7,355.06/15,985.13 = 15,985.13/x
  3. Step 3: Cross multiply
    7,355.06x = 15,985.13 × 15,985.13
  4. Step 4: Simplify right side
    7,355.06x = 255,524,221.27
  5. Step 5: Solve for x
    x = 255,524,221.27/7,355.06
  6. Step 6: Final answer
    x = 34,741.27

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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.