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Finding the Third Proportional to 6,200.81 and 13,565.91

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Solution

The third proportional to 6,200.81 and 13,565.91 is: 29,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.81 : 13,565.91 = 13,565.91 : x
  2. Step 2: Convert to fraction form
    6,200.81/13,565.91 = 13,565.91/x
  3. Step 3: Cross multiply
    6,200.81x = 13,565.91 × 13,565.91
  4. Step 4: Simplify right side
    6,200.81x = 184,033,812.38
  5. Step 5: Solve for x
    x = 184,033,812.38/6,200.81
  6. Step 6: Final answer
    x = 29,678.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.