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Finding the Third Proportional to 38,490 and 57,736

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Solution

The third proportional to 38,490 and 57,736 is: 86,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,490 : 57,736 = 57,736 : x
  2. Step 2: Convert to fraction form
    38,490/57,736 = 57,736/x
  3. Step 3: Cross multiply
    38,490x = 57,736 × 57,736
  4. Step 4: Simplify right side
    38,490x = 3,333,445,696
  5. Step 5: Solve for x
    x = 3,333,445,696/38,490
  6. Step 6: Final answer
    x = 86,605.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.