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Finding the Third Proportional to 13,492.13 and 20,426.63

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Solution

The third proportional to 13,492.13 and 20,426.63 is: 30,925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.13 : 20,426.63 = 20,426.63 : x
  2. Step 2: Convert to fraction form
    13,492.13/20,426.63 = 20,426.63/x
  3. Step 3: Cross multiply
    13,492.13x = 20,426.63 × 20,426.63
  4. Step 4: Simplify right side
    13,492.13x = 417,247,008.89
  5. Step 5: Solve for x
    x = 417,247,008.89/13,492.13
  6. Step 6: Final answer
    x = 30,925.23

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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.