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Finding the Third Proportional to 6,504.05 and 15,986.74

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Solution

The third proportional to 6,504.05 and 15,986.74 is: 39,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.05 : 15,986.74 = 15,986.74 : x
  2. Step 2: Convert to fraction form
    6,504.05/15,986.74 = 15,986.74/x
  3. Step 3: Cross multiply
    6,504.05x = 15,986.74 × 15,986.74
  4. Step 4: Simplify right side
    6,504.05x = 255,575,925.77
  5. Step 5: Solve for x
    x = 255,575,925.77/6,504.05
  6. Step 6: Final answer
    x = 39,294.91

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.