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Finding the Third Proportional to 5,136 and 10,785

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Solution

The third proportional to 5,136 and 10,785 is: 22,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136 : 10,785 = 10,785 : x
  2. Step 2: Convert to fraction form
    5,136/10,785 = 10,785/x
  3. Step 3: Cross multiply
    5,136x = 10,785 × 10,785
  4. Step 4: Simplify right side
    5,136x = 116,316,225
  5. Step 5: Solve for x
    x = 116,316,225/5,136
  6. Step 6: Final answer
    x = 22,647.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.