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Finding the Third Proportional to 43,442 and 64,971

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Solution

The third proportional to 43,442 and 64,971 is: 97,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,442 : 64,971 = 64,971 : x
  2. Step 2: Convert to fraction form
    43,442/64,971 = 64,971/x
  3. Step 3: Cross multiply
    43,442x = 64,971 × 64,971
  4. Step 4: Simplify right side
    43,442x = 4,221,230,841
  5. Step 5: Solve for x
    x = 4,221,230,841/43,442
  6. Step 6: Final answer
    x = 97,169.35

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Why These Related Problems?

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