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Finding the Third Proportional to 28,634 and 42,097

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Solution

The third proportional to 28,634 and 42,097 is: 61,889.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,634 : 42,097 = 42,097 : x
  2. Step 2: Convert to fraction form
    28,634/42,097 = 42,097/x
  3. Step 3: Cross multiply
    28,634x = 42,097 × 42,097
  4. Step 4: Simplify right side
    28,634x = 1,772,157,409
  5. Step 5: Solve for x
    x = 1,772,157,409/28,634
  6. Step 6: Final answer
    x = 61,889.97

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.