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Finding the Third Proportional to 12,820.50 and 28,164

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Solution

The third proportional to 12,820.50 and 28,164 is: 61,870.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.50 : 28,164 = 28,164 : x
  2. Step 2: Convert to fraction form
    12,820.50/28,164 = 28,164/x
  3. Step 3: Cross multiply
    12,820.50x = 28,164 × 28,164
  4. Step 4: Simplify right side
    12,820.50x = 793,210,896
  5. Step 5: Solve for x
    x = 793,210,896/12,820.50
  6. Step 6: Final answer
    x = 61,870.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.