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Finding the Third Proportional to 9,196.03 and 13,551.05

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Solution

The third proportional to 9,196.03 and 13,551.05 is: 19,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.03 : 13,551.05 = 13,551.05 : x
  2. Step 2: Convert to fraction form
    9,196.03/13,551.05 = 13,551.05/x
  3. Step 3: Cross multiply
    9,196.03x = 13,551.05 × 13,551.05
  4. Step 4: Simplify right side
    9,196.03x = 183,630,871.41
  5. Step 5: Solve for x
    x = 183,630,871.41/9,196.03
  6. Step 6: Final answer
    x = 19,968.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.