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Finding the Third Proportional to 6,477.71 and 14,127.93

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Solution

The third proportional to 6,477.71 and 14,127.93 is: 30,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.71 : 14,127.93 = 14,127.93 : x
  2. Step 2: Convert to fraction form
    6,477.71/14,127.93 = 14,127.93/x
  3. Step 3: Cross multiply
    6,477.71x = 14,127.93 × 14,127.93
  4. Step 4: Simplify right side
    6,477.71x = 199,598,535.22
  5. Step 5: Solve for x
    x = 199,598,535.22/6,477.71
  6. Step 6: Final answer
    x = 30,813.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.