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Finding the Third Proportional to 6,277.61 and 9,497.41

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Solution

The third proportional to 6,277.61 and 9,497.41 is: 14,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.61 : 9,497.41 = 9,497.41 : x
  2. Step 2: Convert to fraction form
    6,277.61/9,497.41 = 9,497.41/x
  3. Step 3: Cross multiply
    6,277.61x = 9,497.41 × 9,497.41
  4. Step 4: Simplify right side
    6,277.61x = 90,200,762.58
  5. Step 5: Solve for x
    x = 90,200,762.58/6,277.61
  6. Step 6: Final answer
    x = 14,368.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.