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Finding the Third Proportional to 26,430 and 37,989

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Solution

The third proportional to 26,430 and 37,989 is: 54,603.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,430 : 37,989 = 37,989 : x
  2. Step 2: Convert to fraction form
    26,430/37,989 = 37,989/x
  3. Step 3: Cross multiply
    26,430x = 37,989 × 37,989
  4. Step 4: Simplify right side
    26,430x = 1,443,164,121
  5. Step 5: Solve for x
    x = 1,443,164,121/26,430
  6. Step 6: Final answer
    x = 54,603.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.