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Finding the Third Proportional to 28,941 and 61,434.75

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Solution

The third proportional to 28,941 and 61,434.75 is: 130,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,941 : 61,434.75 = 61,434.75 : x
  2. Step 2: Convert to fraction form
    28,941/61,434.75 = 61,434.75/x
  3. Step 3: Cross multiply
    28,941x = 61,434.75 × 61,434.75
  4. Step 4: Simplify right side
    28,941x = 3,774,228,507.56
  5. Step 5: Solve for x
    x = 3,774,228,507.56/28,941
  6. Step 6: Final answer
    x = 130,411.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.