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Finding the Third Proportional to 5,190 and 13,461

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Solution

The third proportional to 5,190 and 13,461 is: 34,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190 : 13,461 = 13,461 : x
  2. Step 2: Convert to fraction form
    5,190/13,461 = 13,461/x
  3. Step 3: Cross multiply
    5,190x = 13,461 × 13,461
  4. Step 4: Simplify right side
    5,190x = 181,198,521
  5. Step 5: Solve for x
    x = 181,198,521/5,190
  6. Step 6: Final answer
    x = 34,913.01

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.