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Finding the Third Proportional to 21,677.63 and 34,657.88

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Solution

The third proportional to 21,677.63 and 34,657.88 is: 55,410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.63 : 34,657.88 = 34,657.88 : x
  2. Step 2: Convert to fraction form
    21,677.63/34,657.88 = 34,657.88/x
  3. Step 3: Cross multiply
    21,677.63x = 34,657.88 × 34,657.88
  4. Step 4: Simplify right side
    21,677.63x = 1,201,168,299.52
  5. Step 5: Solve for x
    x = 1,201,168,299.52/21,677.63
  6. Step 6: Final answer
    x = 55,410.51

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.