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Finding the Third Proportional to 30,425.63 and 65,532.38

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Solution

The third proportional to 30,425.63 and 65,532.38 is: 141,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,425.63 : 65,532.38 = 65,532.38 : x
  2. Step 2: Convert to fraction form
    30,425.63/65,532.38 = 65,532.38/x
  3. Step 3: Cross multiply
    30,425.63x = 65,532.38 × 65,532.38
  4. Step 4: Simplify right side
    30,425.63x = 4,294,492,173.14
  5. Step 5: Solve for x
    x = 4,294,492,173.14/30,425.63
  6. Step 6: Final answer
    x = 141,147.21

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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.