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Finding the Third Proportional to 35,740 and 76,101

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Solution

The third proportional to 35,740 and 76,101 is: 162,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,740 : 76,101 = 76,101 : x
  2. Step 2: Convert to fraction form
    35,740/76,101 = 76,101/x
  3. Step 3: Cross multiply
    35,740x = 76,101 × 76,101
  4. Step 4: Simplify right side
    35,740x = 5,791,362,201
  5. Step 5: Solve for x
    x = 5,791,362,201/35,740
  6. Step 6: Final answer
    x = 162,041.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.