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Finding the Third Proportional to 44,338 and 64,778

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Solution

The third proportional to 44,338 and 64,778 is: 94,640.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,338 : 64,778 = 64,778 : x
  2. Step 2: Convert to fraction form
    44,338/64,778 = 64,778/x
  3. Step 3: Cross multiply
    44,338x = 64,778 × 64,778
  4. Step 4: Simplify right side
    44,338x = 4,196,189,284
  5. Step 5: Solve for x
    x = 4,196,189,284/44,338
  6. Step 6: Final answer
    x = 94,640.92

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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.