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Finding the Third Proportional to 8,996.06 and 14,931.84

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Solution

The third proportional to 8,996.06 and 14,931.84 is: 24,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.06 : 14,931.84 = 14,931.84 : x
  2. Step 2: Convert to fraction form
    8,996.06/14,931.84 = 14,931.84/x
  3. Step 3: Cross multiply
    8,996.06x = 14,931.84 × 14,931.84
  4. Step 4: Simplify right side
    8,996.06x = 222,959,957.77
  5. Step 5: Solve for x
    x = 222,959,957.77/8,996.06
  6. Step 6: Final answer
    x = 24,784.17

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.