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Finding the Third Proportional to 43,298 and 64,947

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Solution

The third proportional to 43,298 and 64,947 is: 97,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,298 : 64,947 = 64,947 : x
  2. Step 2: Convert to fraction form
    43,298/64,947 = 64,947/x
  3. Step 3: Cross multiply
    43,298x = 64,947 × 64,947
  4. Step 4: Simplify right side
    43,298x = 4,218,112,809
  5. Step 5: Solve for x
    x = 4,218,112,809/43,298
  6. Step 6: Final answer
    x = 97,420.50

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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.