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Finding the Third Proportional to 6,981.74 and 14,963.01

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Solution

The third proportional to 6,981.74 and 14,963.01 is: 32,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.74 : 14,963.01 = 14,963.01 : x
  2. Step 2: Convert to fraction form
    6,981.74/14,963.01 = 14,963.01/x
  3. Step 3: Cross multiply
    6,981.74x = 14,963.01 × 14,963.01
  4. Step 4: Simplify right side
    6,981.74x = 223,891,661.25
  5. Step 5: Solve for x
    x = 223,891,661.25/6,981.74
  6. Step 6: Final answer
    x = 32,068.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.