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Finding the Third Proportional to 12,461.63 and 16,788.94

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Solution

The third proportional to 12,461.63 and 16,788.94 is: 22,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.63 : 16,788.94 = 16,788.94 : x
  2. Step 2: Convert to fraction form
    12,461.63/16,788.94 = 16,788.94/x
  3. Step 3: Cross multiply
    12,461.63x = 16,788.94 × 16,788.94
  4. Step 4: Simplify right side
    12,461.63x = 281,868,422.38
  5. Step 5: Solve for x
    x = 281,868,422.38/12,461.63
  6. Step 6: Final answer
    x = 22,618.91

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.