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Finding the Third Proportional to 13,606.50 and 21,369

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Solution

The third proportional to 13,606.50 and 21,369 is: 33,560.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,606.50 : 21,369 = 21,369 : x
  2. Step 2: Convert to fraction form
    13,606.50/21,369 = 21,369/x
  3. Step 3: Cross multiply
    13,606.50x = 21,369 × 21,369
  4. Step 4: Simplify right side
    13,606.50x = 456,634,161
  5. Step 5: Solve for x
    x = 456,634,161/13,606.50
  6. Step 6: Final answer
    x = 33,560.00

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.