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Finding the Third Proportional to 13,938.75 and 21,353.63

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Solution

The third proportional to 13,938.75 and 21,353.63 is: 32,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938.75 : 21,353.63 = 21,353.63 : x
  2. Step 2: Convert to fraction form
    13,938.75/21,353.63 = 21,353.63/x
  3. Step 3: Cross multiply
    13,938.75x = 21,353.63 × 21,353.63
  4. Step 4: Simplify right side
    13,938.75x = 455,977,300.64
  5. Step 5: Solve for x
    x = 455,977,300.64/13,938.75
  6. Step 6: Final answer
    x = 32,712.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.