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Finding the Third Proportional to 43,276 and 64,914

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Solution

The third proportional to 43,276 and 64,914 is: 97,371

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,276 : 64,914 = 64,914 : x
  2. Step 2: Convert to fraction form
    43,276/64,914 = 64,914/x
  3. Step 3: Cross multiply
    43,276x = 64,914 × 64,914
  4. Step 4: Simplify right side
    43,276x = 4,213,827,396
  5. Step 5: Solve for x
    x = 4,213,827,396/43,276
  6. Step 6: Final answer
    x = 97,371

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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.