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Finding the Third Proportional to 30,112.88 and 46,837.13

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Solution

The third proportional to 30,112.88 and 46,837.13 is: 72,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,112.88 : 46,837.13 = 46,837.13 : x
  2. Step 2: Convert to fraction form
    30,112.88/46,837.13 = 46,837.13/x
  3. Step 3: Cross multiply
    30,112.88x = 46,837.13 × 46,837.13
  4. Step 4: Simplify right side
    30,112.88x = 2,193,716,278.27
  5. Step 5: Solve for x
    x = 2,193,716,278.27/30,112.88
  6. Step 6: Final answer
    x = 72,849.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.