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Finding the Third Proportional to 4,625.25 and 10,096.13

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Solution

The third proportional to 4,625.25 and 10,096.13 is: 22,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.25 : 10,096.13 = 10,096.13 : x
  2. Step 2: Convert to fraction form
    4,625.25/10,096.13 = 10,096.13/x
  3. Step 3: Cross multiply
    4,625.25x = 10,096.13 × 10,096.13
  4. Step 4: Simplify right side
    4,625.25x = 101,931,740.02
  5. Step 5: Solve for x
    x = 101,931,740.02/4,625.25
  6. Step 6: Final answer
    x = 22,038.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.