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Finding the Third Proportional to 4,420.13 and 9,607.22

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Solution

The third proportional to 4,420.13 and 9,607.22 is: 20,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,420.13 : 9,607.22 = 9,607.22 : x
  2. Step 2: Convert to fraction form
    4,420.13/9,607.22 = 9,607.22/x
  3. Step 3: Cross multiply
    4,420.13x = 9,607.22 × 9,607.22
  4. Step 4: Simplify right side
    4,420.13x = 92,298,652.11
  5. Step 5: Solve for x
    x = 92,298,652.11/4,420.13
  6. Step 6: Final answer
    x = 20,881.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.