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Finding the Third Proportional to 12,983.63 and 19,598.63

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Solution

The third proportional to 12,983.63 and 19,598.63 is: 29,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.63 : 19,598.63 = 19,598.63 : x
  2. Step 2: Convert to fraction form
    12,983.63/19,598.63 = 19,598.63/x
  3. Step 3: Cross multiply
    12,983.63x = 19,598.63 × 19,598.63
  4. Step 4: Simplify right side
    12,983.63x = 384,106,101.89
  5. Step 5: Solve for x
    x = 384,106,101.89/12,983.63
  6. Step 6: Final answer
    x = 29,583.89

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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.