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Finding the Third Proportional to 30,403.88 and 65,303.25

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Solution

The third proportional to 30,403.88 and 65,303.25 is: 140,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,403.88 : 65,303.25 = 65,303.25 : x
  2. Step 2: Convert to fraction form
    30,403.88/65,303.25 = 65,303.25/x
  3. Step 3: Cross multiply
    30,403.88x = 65,303.25 × 65,303.25
  4. Step 4: Simplify right side
    30,403.88x = 4,264,514,460.56
  5. Step 5: Solve for x
    x = 4,264,514,460.56/30,403.88
  6. Step 6: Final answer
    x = 140,262.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.