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Finding the Third Proportional to 37,040 and 51,852

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Solution

The third proportional to 37,040 and 51,852 is: 72,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,040 : 51,852 = 51,852 : x
  2. Step 2: Convert to fraction form
    37,040/51,852 = 51,852/x
  3. Step 3: Cross multiply
    37,040x = 51,852 × 51,852
  4. Step 4: Simplify right side
    37,040x = 2,688,629,904
  5. Step 5: Solve for x
    x = 2,688,629,904/37,040
  6. Step 6: Final answer
    x = 72,587.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.