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Finding the Third Proportional to 13,606.25 and 21,016.16

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Solution

The third proportional to 13,606.25 and 21,016.16 is: 32,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,606.25 : 21,016.16 = 21,016.16 : x
  2. Step 2: Convert to fraction form
    13,606.25/21,016.16 = 21,016.16/x
  3. Step 3: Cross multiply
    13,606.25x = 21,016.16 × 21,016.16
  4. Step 4: Simplify right side
    13,606.25x = 441,678,823.52
  5. Step 5: Solve for x
    x = 441,678,823.52/13,606.25
  6. Step 6: Final answer
    x = 32,461.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.