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Finding the Third Proportional to 34,048 and 49,776

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Solution

The third proportional to 34,048 and 49,776 is: 72,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,048 : 49,776 = 49,776 : x
  2. Step 2: Convert to fraction form
    34,048/49,776 = 49,776/x
  3. Step 3: Cross multiply
    34,048x = 49,776 × 49,776
  4. Step 4: Simplify right side
    34,048x = 2,477,650,176
  5. Step 5: Solve for x
    x = 2,477,650,176/34,048
  6. Step 6: Final answer
    x = 72,769.33

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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.