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Finding the Third Proportional to 39,788 and 55,776

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Solution

The third proportional to 39,788 and 55,776 is: 78,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,788 : 55,776 = 55,776 : x
  2. Step 2: Convert to fraction form
    39,788/55,776 = 55,776/x
  3. Step 3: Cross multiply
    39,788x = 55,776 × 55,776
  4. Step 4: Simplify right side
    39,788x = 3,110,962,176
  5. Step 5: Solve for x
    x = 3,110,962,176/39,788
  6. Step 6: Final answer
    x = 78,188.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.