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Finding the Third Proportional to 43,245 and 65,445

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Solution

The third proportional to 43,245 and 65,445 is: 99,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,245 : 65,445 = 65,445 : x
  2. Step 2: Convert to fraction form
    43,245/65,445 = 65,445/x
  3. Step 3: Cross multiply
    43,245x = 65,445 × 65,445
  4. Step 4: Simplify right side
    43,245x = 4,283,048,025
  5. Step 5: Solve for x
    x = 4,283,048,025/43,245
  6. Step 6: Final answer
    x = 99,041.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.