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Finding the Third Proportional to 28,176 and 65,518.50

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Solution

The third proportional to 28,176 and 65,518.50 is: 152,352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,176 : 65,518.50 = 65,518.50 : x
  2. Step 2: Convert to fraction form
    28,176/65,518.50 = 65,518.50/x
  3. Step 3: Cross multiply
    28,176x = 65,518.50 × 65,518.50
  4. Step 4: Simplify right side
    28,176x = 4,292,673,842.25
  5. Step 5: Solve for x
    x = 4,292,673,842.25/28,176
  6. Step 6: Final answer
    x = 152,352.14

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.