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Finding the Third Proportional to 48,337 and 74,697.50

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Solution

The third proportional to 48,337 and 74,697.50 is: 115,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,337 : 74,697.50 = 74,697.50 : x
  2. Step 2: Convert to fraction form
    48,337/74,697.50 = 74,697.50/x
  3. Step 3: Cross multiply
    48,337x = 74,697.50 × 74,697.50
  4. Step 4: Simplify right side
    48,337x = 5,579,716,506.25
  5. Step 5: Solve for x
    x = 5,579,716,506.25/48,337
  6. Step 6: Final answer
    x = 115,433.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.