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Finding the Third Proportional to 10,033.88 and 16,637.06

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Solution

The third proportional to 10,033.88 and 16,637.06 is: 27,585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.88 : 16,637.06 = 16,637.06 : x
  2. Step 2: Convert to fraction form
    10,033.88/16,637.06 = 16,637.06/x
  3. Step 3: Cross multiply
    10,033.88x = 16,637.06 × 16,637.06
  4. Step 4: Simplify right side
    10,033.88x = 276,791,848.63
  5. Step 5: Solve for x
    x = 276,791,848.63/10,033.88
  6. Step 6: Final answer
    x = 27,585.74

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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.