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Finding the Third Proportional to 12,570.19 and 16,032.94

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Solution

The third proportional to 12,570.19 and 16,032.94 is: 20,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.19 : 16,032.94 = 16,032.94 : x
  2. Step 2: Convert to fraction form
    12,570.19/16,032.94 = 16,032.94/x
  3. Step 3: Cross multiply
    12,570.19x = 16,032.94 × 16,032.94
  4. Step 4: Simplify right side
    12,570.19x = 257,055,084.88
  5. Step 5: Solve for x
    x = 257,055,084.88/12,570.19
  6. Step 6: Final answer
    x = 20,449.58

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.