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Finding the Third Proportional to 9,085 and 20,297

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Solution

The third proportional to 9,085 and 20,297 is: 45,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085 : 20,297 = 20,297 : x
  2. Step 2: Convert to fraction form
    9,085/20,297 = 20,297/x
  3. Step 3: Cross multiply
    9,085x = 20,297 × 20,297
  4. Step 4: Simplify right side
    9,085x = 411,968,209
  5. Step 5: Solve for x
    x = 411,968,209/9,085
  6. Step 6: Final answer
    x = 45,345.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.