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Finding the Third Proportional to 32,470.88 and 66,551.63

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Solution

The third proportional to 32,470.88 and 66,551.63 is: 136,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.88 : 66,551.63 = 66,551.63 : x
  2. Step 2: Convert to fraction form
    32,470.88/66,551.63 = 66,551.63/x
  3. Step 3: Cross multiply
    32,470.88x = 66,551.63 × 66,551.63
  4. Step 4: Simplify right side
    32,470.88x = 4,429,118,790.14
  5. Step 5: Solve for x
    x = 4,429,118,790.14/32,470.88
  6. Step 6: Final answer
    x = 136,402.82

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.