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Finding the Third Proportional to 13,748.06 and 26,402.63

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Solution

The third proportional to 13,748.06 and 26,402.63 is: 50,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,748.06 : 26,402.63 = 26,402.63 : x
  2. Step 2: Convert to fraction form
    13,748.06/26,402.63 = 26,402.63/x
  3. Step 3: Cross multiply
    13,748.06x = 26,402.63 × 26,402.63
  4. Step 4: Simplify right side
    13,748.06x = 697,098,606.89
  5. Step 5: Solve for x
    x = 697,098,606.89/13,748.06
  6. Step 6: Final answer
    x = 50,705.23

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.