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Finding the Third Proportional to 30,307.50 and 65,439

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Solution

The third proportional to 30,307.50 and 65,439 is: 141,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,307.50 : 65,439 = 65,439 : x
  2. Step 2: Convert to fraction form
    30,307.50/65,439 = 65,439/x
  3. Step 3: Cross multiply
    30,307.50x = 65,439 × 65,439
  4. Step 4: Simplify right side
    30,307.50x = 4,282,262,721
  5. Step 5: Solve for x
    x = 4,282,262,721/30,307.50
  6. Step 6: Final answer
    x = 141,293.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.