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Finding the Third Proportional to 28,480 and 61,176

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Solution

The third proportional to 28,480 and 61,176 is: 131,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,480 : 61,176 = 61,176 : x
  2. Step 2: Convert to fraction form
    28,480/61,176 = 61,176/x
  3. Step 3: Cross multiply
    28,480x = 61,176 × 61,176
  4. Step 4: Simplify right side
    28,480x = 3,742,502,976
  5. Step 5: Solve for x
    x = 3,742,502,976/28,480
  6. Step 6: Final answer
    x = 131,408.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.