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Finding the Third Proportional to 12,929.63 and 18,298.41

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Solution

The third proportional to 12,929.63 and 18,298.41 is: 25,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,929.63 : 18,298.41 = 18,298.41 : x
  2. Step 2: Convert to fraction form
    12,929.63/18,298.41 = 18,298.41/x
  3. Step 3: Cross multiply
    12,929.63x = 18,298.41 × 18,298.41
  4. Step 4: Simplify right side
    12,929.63x = 334,831,671.29
  5. Step 5: Solve for x
    x = 334,831,671.29/12,929.63
  6. Step 6: Final answer
    x = 25,896.47

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.