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Finding the Third Proportional to 38,440 and 51,774

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Solution

The third proportional to 38,440 and 51,774 is: 69,733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,440 : 51,774 = 51,774 : x
  2. Step 2: Convert to fraction form
    38,440/51,774 = 51,774/x
  3. Step 3: Cross multiply
    38,440x = 51,774 × 51,774
  4. Step 4: Simplify right side
    38,440x = 2,680,547,076
  5. Step 5: Solve for x
    x = 2,680,547,076/38,440
  6. Step 6: Final answer
    x = 69,733.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.