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Finding the Third Proportional to 37,506 and 52,750

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Solution

The third proportional to 37,506 and 52,750 is: 74,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,506 : 52,750 = 52,750 : x
  2. Step 2: Convert to fraction form
    37,506/52,750 = 52,750/x
  3. Step 3: Cross multiply
    37,506x = 52,750 × 52,750
  4. Step 4: Simplify right side
    37,506x = 2,782,562,500
  5. Step 5: Solve for x
    x = 2,782,562,500/37,506
  6. Step 6: Final answer
    x = 74,189.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.