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Finding the Third Proportional to 6,977.25 and 9,946.13

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Solution

The third proportional to 6,977.25 and 9,946.13 is: 14,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.25 : 9,946.13 = 9,946.13 : x
  2. Step 2: Convert to fraction form
    6,977.25/9,946.13 = 9,946.13/x
  3. Step 3: Cross multiply
    6,977.25x = 9,946.13 × 9,946.13
  4. Step 4: Simplify right side
    6,977.25x = 98,925,402.52
  5. Step 5: Solve for x
    x = 98,925,402.52/6,977.25
  6. Step 6: Final answer
    x = 14,178.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.