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Finding the Third Proportional to 30,916.13 and 66,205.13

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Solution

The third proportional to 30,916.13 and 66,205.13 is: 141,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,916.13 : 66,205.13 = 66,205.13 : x
  2. Step 2: Convert to fraction form
    30,916.13/66,205.13 = 66,205.13/x
  3. Step 3: Cross multiply
    30,916.13x = 66,205.13 × 66,205.13
  4. Step 4: Simplify right side
    30,916.13x = 4,383,118,576.27
  5. Step 5: Solve for x
    x = 4,383,118,576.27/30,916.13
  6. Step 6: Final answer
    x = 141,774.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.