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Finding the Third Proportional to 8,984.67 and 13,602.94

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Solution

The third proportional to 8,984.67 and 13,602.94 is: 20,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.67 : 13,602.94 = 13,602.94 : x
  2. Step 2: Convert to fraction form
    8,984.67/13,602.94 = 13,602.94/x
  3. Step 3: Cross multiply
    8,984.67x = 13,602.94 × 13,602.94
  4. Step 4: Simplify right side
    8,984.67x = 185,039,908.63
  5. Step 5: Solve for x
    x = 185,039,908.63/8,984.67
  6. Step 6: Final answer
    x = 20,595.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.