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Finding the Third Proportional to 35,241.75 and 76,024.41

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Solution

The third proportional to 35,241.75 and 76,024.41 is: 164,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,241.75 : 76,024.41 = 76,024.41 : x
  2. Step 2: Convert to fraction form
    35,241.75/76,024.41 = 76,024.41/x
  3. Step 3: Cross multiply
    35,241.75x = 76,024.41 × 76,024.41
  4. Step 4: Simplify right side
    35,241.75x = 5,779,710,345.67
  5. Step 5: Solve for x
    x = 5,779,710,345.67/35,241.75
  6. Step 6: Final answer
    x = 164,001.80

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