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Finding the Third Proportional to 7,291.69 and 13,565.81

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Solution

The third proportional to 7,291.69 and 13,565.81 is: 25,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.69 : 13,565.81 = 13,565.81 : x
  2. Step 2: Convert to fraction form
    7,291.69/13,565.81 = 13,565.81/x
  3. Step 3: Cross multiply
    7,291.69x = 13,565.81 × 13,565.81
  4. Step 4: Simplify right side
    7,291.69x = 184,031,268.79
  5. Step 5: Solve for x
    x = 184,031,268.79/7,291.69
  6. Step 6: Final answer
    x = 25,238.50

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.