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Finding the Third Proportional to 44,968 and 64,768

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Solution

The third proportional to 44,968 and 64,768 is: 93,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,968 : 64,768 = 64,768 : x
  2. Step 2: Convert to fraction form
    44,968/64,768 = 64,768/x
  3. Step 3: Cross multiply
    44,968x = 64,768 × 64,768
  4. Step 4: Simplify right side
    44,968x = 4,194,893,824
  5. Step 5: Solve for x
    x = 4,194,893,824/44,968
  6. Step 6: Final answer
    x = 93,286.20

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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.