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Finding the Third Proportional to 43,464 and 65,034

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Solution

The third proportional to 43,464 and 65,034 is: 97,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,464 : 65,034 = 65,034 : x
  2. Step 2: Convert to fraction form
    43,464/65,034 = 65,034/x
  3. Step 3: Cross multiply
    43,464x = 65,034 × 65,034
  4. Step 4: Simplify right side
    43,464x = 4,229,421,156
  5. Step 5: Solve for x
    x = 4,229,421,156/43,464
  6. Step 6: Final answer
    x = 97,308.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.