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Finding the Third Proportional to 30,184.21 and 65,554.00

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Solution

The third proportional to 30,184.21 and 65,554.00 is: 142,370.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,184.21 : 65,554.00 = 65,554.00 : x
  2. Step 2: Convert to fraction form
    30,184.21/65,554.00 = 65,554.00/x
  3. Step 3: Cross multiply
    30,184.21x = 65,554.00 × 65,554.00
  4. Step 4: Simplify right side
    30,184.21x = 4,297,326,403.86
  5. Step 5: Solve for x
    x = 4,297,326,403.86/30,184.21
  6. Step 6: Final answer
    x = 142,370.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.