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Finding the Third Proportional to 6,252.19 and 9,127.69

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Solution

The third proportional to 6,252.19 and 9,127.69 is: 13,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,252.19 : 9,127.69 = 9,127.69 : x
  2. Step 2: Convert to fraction form
    6,252.19/9,127.69 = 9,127.69/x
  3. Step 3: Cross multiply
    6,252.19x = 9,127.69 × 9,127.69
  4. Step 4: Simplify right side
    6,252.19x = 83,314,679.10
  5. Step 5: Solve for x
    x = 83,314,679.10/6,252.19
  6. Step 6: Final answer
    x = 13,325.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.