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Finding the Third Proportional to 16,532 and 26,090.50

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Solution

The third proportional to 16,532 and 26,090.50 is: 41,175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,532 : 26,090.50 = 26,090.50 : x
  2. Step 2: Convert to fraction form
    16,532/26,090.50 = 26,090.50/x
  3. Step 3: Cross multiply
    16,532x = 26,090.50 × 26,090.50
  4. Step 4: Simplify right side
    16,532x = 680,714,190.25
  5. Step 5: Solve for x
    x = 680,714,190.25/16,532
  6. Step 6: Final answer
    x = 41,175.55

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.