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Finding the Third Proportional to 14,698.97 and 21,432.09

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Solution

The third proportional to 14,698.97 and 21,432.09 is: 31,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.97 : 21,432.09 = 21,432.09 : x
  2. Step 2: Convert to fraction form
    14,698.97/21,432.09 = 21,432.09/x
  3. Step 3: Cross multiply
    14,698.97x = 21,432.09 × 21,432.09
  4. Step 4: Simplify right side
    14,698.97x = 459,334,642.51
  5. Step 5: Solve for x
    x = 459,334,642.51/14,698.97
  6. Step 6: Final answer
    x = 31,249.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.