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Finding the Third Proportional to 15,778.13 and 34,016.63

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Solution

The third proportional to 15,778.13 and 34,016.63 is: 73,337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.13 : 34,016.63 = 34,016.63 : x
  2. Step 2: Convert to fraction form
    15,778.13/34,016.63 = 34,016.63/x
  3. Step 3: Cross multiply
    15,778.13x = 34,016.63 × 34,016.63
  4. Step 4: Simplify right side
    15,778.13x = 1,157,130,776.39
  5. Step 5: Solve for x
    x = 1,157,130,776.39/15,778.13
  6. Step 6: Final answer
    x = 73,337.66

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