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Finding the Third Proportional to 40,896 and 88,480

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Solution

The third proportional to 40,896 and 88,480 is: 191,429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,896 : 88,480 = 88,480 : x
  2. Step 2: Convert to fraction form
    40,896/88,480 = 88,480/x
  3. Step 3: Cross multiply
    40,896x = 88,480 × 88,480
  4. Step 4: Simplify right side
    40,896x = 7,828,710,400
  5. Step 5: Solve for x
    x = 7,828,710,400/40,896
  6. Step 6: Final answer
    x = 191,429.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.