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Finding the Third Proportional to 21,602.75 and 32,705.88

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Solution

The third proportional to 21,602.75 and 32,705.88 is: 49,515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.75 : 32,705.88 = 32,705.88 : x
  2. Step 2: Convert to fraction form
    21,602.75/32,705.88 = 32,705.88/x
  3. Step 3: Cross multiply
    21,602.75x = 32,705.88 × 32,705.88
  4. Step 4: Simplify right side
    21,602.75x = 1,069,674,259.52
  5. Step 5: Solve for x
    x = 1,069,674,259.52/21,602.75
  6. Step 6: Final answer
    x = 49,515.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.