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Finding the Third Proportional to 5,087.34 and 13,673.02

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Solution

The third proportional to 5,087.34 and 13,673.02 is: 36,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.34 : 13,673.02 = 13,673.02 : x
  2. Step 2: Convert to fraction form
    5,087.34/13,673.02 = 13,673.02/x
  3. Step 3: Cross multiply
    5,087.34x = 13,673.02 × 13,673.02
  4. Step 4: Simplify right side
    5,087.34x = 186,951,516.51
  5. Step 5: Solve for x
    x = 186,951,516.51/5,087.34
  6. Step 6: Final answer
    x = 36,748.40

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.