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Finding the Third Proportional to 38,128 and 56,640

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Solution

The third proportional to 38,128 and 56,640 is: 84,139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,128 : 56,640 = 56,640 : x
  2. Step 2: Convert to fraction form
    38,128/56,640 = 56,640/x
  3. Step 3: Cross multiply
    38,128x = 56,640 × 56,640
  4. Step 4: Simplify right side
    38,128x = 3,208,089,600
  5. Step 5: Solve for x
    x = 3,208,089,600/38,128
  6. Step 6: Final answer
    x = 84,139.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.