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Finding the Third Proportional to 17,588.63 and 37,637.53

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Solution

The third proportional to 17,588.63 and 37,637.53 is: 80,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,588.63 : 37,637.53 = 37,637.53 : x
  2. Step 2: Convert to fraction form
    17,588.63/37,637.53 = 37,637.53/x
  3. Step 3: Cross multiply
    17,588.63x = 37,637.53 × 37,637.53
  4. Step 4: Simplify right side
    17,588.63x = 1,416,583,758.59
  5. Step 5: Solve for x
    x = 1,416,583,758.59/17,588.63
  6. Step 6: Final answer
    x = 80,539.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.