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Finding the Third Proportional to 17,888 and 26,283.50

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Solution

The third proportional to 17,888 and 26,283.50 is: 38,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,888 : 26,283.50 = 26,283.50 : x
  2. Step 2: Convert to fraction form
    17,888/26,283.50 = 26,283.50/x
  3. Step 3: Cross multiply
    17,888x = 26,283.50 × 26,283.50
  4. Step 4: Simplify right side
    17,888x = 690,822,372.25
  5. Step 5: Solve for x
    x = 690,822,372.25/17,888
  6. Step 6: Final answer
    x = 38,619.32

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Why These Related Problems?

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