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Finding the Third Proportional to 9,036.84 and 13,502.11

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Solution

The third proportional to 9,036.84 and 13,502.11 is: 20,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036.84 : 13,502.11 = 13,502.11 : x
  2. Step 2: Convert to fraction form
    9,036.84/13,502.11 = 13,502.11/x
  3. Step 3: Cross multiply
    9,036.84x = 13,502.11 × 13,502.11
  4. Step 4: Simplify right side
    9,036.84x = 182,306,957.57
  5. Step 5: Solve for x
    x = 182,306,957.57/9,036.84
  6. Step 6: Final answer
    x = 20,173.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.