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Finding the Third Proportional to 13,757.34 and 21,459.94

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Solution

The third proportional to 13,757.34 and 21,459.94 is: 33,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.34 : 21,459.94 = 21,459.94 : x
  2. Step 2: Convert to fraction form
    13,757.34/21,459.94 = 21,459.94/x
  3. Step 3: Cross multiply
    13,757.34x = 21,459.94 × 21,459.94
  4. Step 4: Simplify right side
    13,757.34x = 460,528,917.50
  5. Step 5: Solve for x
    x = 460,528,917.50/13,757.34
  6. Step 6: Final answer
    x = 33,475.13

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.