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Finding the Third Proportional to 30,024 and 65,691

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Solution

The third proportional to 30,024 and 65,691 is: 143,728.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,024 : 65,691 = 65,691 : x
  2. Step 2: Convert to fraction form
    30,024/65,691 = 65,691/x
  3. Step 3: Cross multiply
    30,024x = 65,691 × 65,691
  4. Step 4: Simplify right side
    30,024x = 4,315,307,481
  5. Step 5: Solve for x
    x = 4,315,307,481/30,024
  6. Step 6: Final answer
    x = 143,728.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.