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Finding the Third Proportional to 41,968 and 61,440

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Solution

The third proportional to 41,968 and 61,440 is: 89,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,968 : 61,440 = 61,440 : x
  2. Step 2: Convert to fraction form
    41,968/61,440 = 61,440/x
  3. Step 3: Cross multiply
    41,968x = 61,440 × 61,440
  4. Step 4: Simplify right side
    41,968x = 3,774,873,600
  5. Step 5: Solve for x
    x = 3,774,873,600/41,968
  6. Step 6: Final answer
    x = 89,946.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.