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Finding the Third Proportional to 30,337 and 47,486.25

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Solution

The third proportional to 30,337 and 47,486.25 is: 74,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,337 : 47,486.25 = 47,486.25 : x
  2. Step 2: Convert to fraction form
    30,337/47,486.25 = 47,486.25/x
  3. Step 3: Cross multiply
    30,337x = 47,486.25 × 47,486.25
  4. Step 4: Simplify right side
    30,337x = 2,254,943,939.06
  5. Step 5: Solve for x
    x = 2,254,943,939.06/30,337
  6. Step 6: Final answer
    x = 74,329.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.