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Finding the Third Proportional to 14,426.63 and 21,734.81

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Solution

The third proportional to 14,426.63 and 21,734.81 is: 32,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,426.63 : 21,734.81 = 21,734.81 : x
  2. Step 2: Convert to fraction form
    14,426.63/21,734.81 = 21,734.81/x
  3. Step 3: Cross multiply
    14,426.63x = 21,734.81 × 21,734.81
  4. Step 4: Simplify right side
    14,426.63x = 472,402,074.41
  5. Step 5: Solve for x
    x = 472,402,074.41/14,426.63
  6. Step 6: Final answer
    x = 32,745.16

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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.