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Finding the Third Proportional to 44,270 and 65,778

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Solution

The third proportional to 44,270 and 65,778 is: 97,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,270 : 65,778 = 65,778 : x
  2. Step 2: Convert to fraction form
    44,270/65,778 = 65,778/x
  3. Step 3: Cross multiply
    44,270x = 65,778 × 65,778
  4. Step 4: Simplify right side
    44,270x = 4,326,745,284
  5. Step 5: Solve for x
    x = 4,326,745,284/44,270
  6. Step 6: Final answer
    x = 97,735.38

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Why These Related Problems?

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