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Finding the Third Proportional to 12,425.63 and 27,038.25

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Solution

The third proportional to 12,425.63 and 27,038.25 is: 58,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,425.63 : 27,038.25 = 27,038.25 : x
  2. Step 2: Convert to fraction form
    12,425.63/27,038.25 = 27,038.25/x
  3. Step 3: Cross multiply
    12,425.63x = 27,038.25 × 27,038.25
  4. Step 4: Simplify right side
    12,425.63x = 731,066,963.06
  5. Step 5: Solve for x
    x = 731,066,963.06/12,425.63
  6. Step 6: Final answer
    x = 58,835.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.