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Finding the Third Proportional to 21,602.50 and 35,275

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Solution

The third proportional to 21,602.50 and 35,275 is: 57,601.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.50 : 35,275 = 35,275 : x
  2. Step 2: Convert to fraction form
    21,602.50/35,275 = 35,275/x
  3. Step 3: Cross multiply
    21,602.50x = 35,275 × 35,275
  4. Step 4: Simplify right side
    21,602.50x = 1,244,325,625
  5. Step 5: Solve for x
    x = 1,244,325,625/21,602.50
  6. Step 6: Final answer
    x = 57,601.00

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.