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Finding the Third Proportional to 13,837.08 and 28,658.81

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Solution

The third proportional to 13,837.08 and 28,658.81 is: 59,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837.08 : 28,658.81 = 28,658.81 : x
  2. Step 2: Convert to fraction form
    13,837.08/28,658.81 = 28,658.81/x
  3. Step 3: Cross multiply
    13,837.08x = 28,658.81 × 28,658.81
  4. Step 4: Simplify right side
    13,837.08x = 821,327,533.91
  5. Step 5: Solve for x
    x = 821,327,533.91/13,837.08
  6. Step 6: Final answer
    x = 59,357.01

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.