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Finding the Third Proportional to 14,475 and 20,164.50

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Solution

The third proportional to 14,475 and 20,164.50 is: 28,090.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475 : 20,164.50 = 20,164.50 : x
  2. Step 2: Convert to fraction form
    14,475/20,164.50 = 20,164.50/x
  3. Step 3: Cross multiply
    14,475x = 20,164.50 × 20,164.50
  4. Step 4: Simplify right side
    14,475x = 406,607,060.25
  5. Step 5: Solve for x
    x = 406,607,060.25/14,475
  6. Step 6: Final answer
    x = 28,090.30

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.