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Finding the Third Proportional to 34,740 and 75,024

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Solution

The third proportional to 34,740 and 75,024 is: 162,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,740 : 75,024 = 75,024 : x
  2. Step 2: Convert to fraction form
    34,740/75,024 = 75,024/x
  3. Step 3: Cross multiply
    34,740x = 75,024 × 75,024
  4. Step 4: Simplify right side
    34,740x = 5,628,600,576
  5. Step 5: Solve for x
    x = 5,628,600,576/34,740
  6. Step 6: Final answer
    x = 162,020.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.