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Finding the Third Proportional to 30,782.67 and 65,272.08

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Solution

The third proportional to 30,782.67 and 65,272.08 is: 138,403.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.67 : 65,272.08 = 65,272.08 : x
  2. Step 2: Convert to fraction form
    30,782.67/65,272.08 = 65,272.08/x
  3. Step 3: Cross multiply
    30,782.67x = 65,272.08 × 65,272.08
  4. Step 4: Simplify right side
    30,782.67x = 4,260,444,182.76
  5. Step 5: Solve for x
    x = 4,260,444,182.76/30,782.67
  6. Step 6: Final answer
    x = 138,403.98

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.