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Finding the Third Proportional to 14,577 and 32,103.75

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Solution

The third proportional to 14,577 and 32,103.75 is: 70,703.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577 : 32,103.75 = 32,103.75 : x
  2. Step 2: Convert to fraction form
    14,577/32,103.75 = 32,103.75/x
  3. Step 3: Cross multiply
    14,577x = 32,103.75 × 32,103.75
  4. Step 4: Simplify right side
    14,577x = 1,030,650,764.06
  5. Step 5: Solve for x
    x = 1,030,650,764.06/14,577
  6. Step 6: Final answer
    x = 70,703.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.