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Finding the Third Proportional to 5,749 and 9,020

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Solution

The third proportional to 5,749 and 9,020 is: 14,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749 : 9,020 = 9,020 : x
  2. Step 2: Convert to fraction form
    5,749/9,020 = 9,020/x
  3. Step 3: Cross multiply
    5,749x = 9,020 × 9,020
  4. Step 4: Simplify right side
    5,749x = 81,360,400
  5. Step 5: Solve for x
    x = 81,360,400/5,749
  6. Step 6: Final answer
    x = 14,152.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.