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Finding the Third Proportional to 5,738 and 9,130

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Solution

The third proportional to 5,738 and 9,130 is: 14,527.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738 : 9,130 = 9,130 : x
  2. Step 2: Convert to fraction form
    5,738/9,130 = 9,130/x
  3. Step 3: Cross multiply
    5,738x = 9,130 × 9,130
  4. Step 4: Simplify right side
    5,738x = 83,356,900
  5. Step 5: Solve for x
    x = 83,356,900/5,738
  6. Step 6: Final answer
    x = 14,527.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.