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Finding the Third Proportional to 37,783 and 56,681

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Solution

The third proportional to 37,783 and 56,681 is: 85,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,783 : 56,681 = 56,681 : x
  2. Step 2: Convert to fraction form
    37,783/56,681 = 56,681/x
  3. Step 3: Cross multiply
    37,783x = 56,681 × 56,681
  4. Step 4: Simplify right side
    37,783x = 3,212,735,761
  5. Step 5: Solve for x
    x = 3,212,735,761/37,783
  6. Step 6: Final answer
    x = 85,031.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.