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Finding the Third Proportional to 35,098 and 76,024

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Solution

The third proportional to 35,098 and 76,024 is: 164,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,098 : 76,024 = 76,024 : x
  2. Step 2: Convert to fraction form
    35,098/76,024 = 76,024/x
  3. Step 3: Cross multiply
    35,098x = 76,024 × 76,024
  4. Step 4: Simplify right side
    35,098x = 5,779,648,576
  5. Step 5: Solve for x
    x = 5,779,648,576/35,098
  6. Step 6: Final answer
    x = 164,671.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.