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Finding the Third Proportional to 43,484 and 65,323

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Solution

The third proportional to 43,484 and 65,323 is: 98,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,484 : 65,323 = 65,323 : x
  2. Step 2: Convert to fraction form
    43,484/65,323 = 65,323/x
  3. Step 3: Cross multiply
    43,484x = 65,323 × 65,323
  4. Step 4: Simplify right side
    43,484x = 4,267,094,329
  5. Step 5: Solve for x
    x = 4,267,094,329/43,484
  6. Step 6: Final answer
    x = 98,130.22

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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.