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Finding the Third Proportional to 15,438.09 and 24,584.77

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Solution

The third proportional to 15,438.09 and 24,584.77 is: 39,150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,438.09 : 24,584.77 = 24,584.77 : x
  2. Step 2: Convert to fraction form
    15,438.09/24,584.77 = 24,584.77/x
  3. Step 3: Cross multiply
    15,438.09x = 24,584.77 × 24,584.77
  4. Step 4: Simplify right side
    15,438.09x = 604,410,700.84
  5. Step 5: Solve for x
    x = 604,410,700.84/15,438.09
  6. Step 6: Final answer
    x = 39,150.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.