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Finding the Third Proportional to 14,531.63 and 21,904.31

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Solution

The third proportional to 14,531.63 and 21,904.31 is: 33,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531.63 : 21,904.31 = 21,904.31 : x
  2. Step 2: Convert to fraction form
    14,531.63/21,904.31 = 21,904.31/x
  3. Step 3: Cross multiply
    14,531.63x = 21,904.31 × 21,904.31
  4. Step 4: Simplify right side
    14,531.63x = 479,798,906.10
  5. Step 5: Solve for x
    x = 479,798,906.10/14,531.63
  6. Step 6: Final answer
    x = 33,017.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.