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Finding the Third Proportional to 28,090 and 61,100

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Solution

The third proportional to 28,090 and 61,100 is: 132,901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,090 : 61,100 = 61,100 : x
  2. Step 2: Convert to fraction form
    28,090/61,100 = 61,100/x
  3. Step 3: Cross multiply
    28,090x = 61,100 × 61,100
  4. Step 4: Simplify right side
    28,090x = 3,733,210,000
  5. Step 5: Solve for x
    x = 3,733,210,000/28,090
  6. Step 6: Final answer
    x = 132,901.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.