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Finding the Third Proportional to 42,947 and 64,892

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Solution

The third proportional to 42,947 and 64,892 is: 98,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,947 : 64,892 = 64,892 : x
  2. Step 2: Convert to fraction form
    42,947/64,892 = 64,892/x
  3. Step 3: Cross multiply
    42,947x = 64,892 × 64,892
  4. Step 4: Simplify right side
    42,947x = 4,210,971,664
  5. Step 5: Solve for x
    x = 4,210,971,664/42,947
  6. Step 6: Final answer
    x = 98,050.43

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