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Finding the Third Proportional to 6,200.58 and 13,565.53

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Solution

The third proportional to 6,200.58 and 13,565.53 is: 29,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.58 : 13,565.53 = 13,565.53 : x
  2. Step 2: Convert to fraction form
    6,200.58/13,565.53 = 13,565.53/x
  3. Step 3: Cross multiply
    6,200.58x = 13,565.53 × 13,565.53
  4. Step 4: Simplify right side
    6,200.58x = 184,023,638.09
  5. Step 5: Solve for x
    x = 184,023,638.09/6,200.58
  6. Step 6: Final answer
    x = 29,678.46

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Why These Related Problems?

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