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Finding the Third Proportional to 9,466.76 and 14,017.35

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Solution

The third proportional to 9,466.76 and 14,017.35 is: 20,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.76 : 14,017.35 = 14,017.35 : x
  2. Step 2: Convert to fraction form
    9,466.76/14,017.35 = 14,017.35/x
  3. Step 3: Cross multiply
    9,466.76x = 14,017.35 × 14,017.35
  4. Step 4: Simplify right side
    9,466.76x = 196,486,117.45
  5. Step 5: Solve for x
    x = 196,486,117.45/9,466.76
  6. Step 6: Final answer
    x = 20,755.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.