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Finding the Third Proportional to 28,465 and 61,141

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Solution

The third proportional to 28,465 and 61,141 is: 131,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,465 : 61,141 = 61,141 : x
  2. Step 2: Convert to fraction form
    28,465/61,141 = 61,141/x
  3. Step 3: Cross multiply
    28,465x = 61,141 × 61,141
  4. Step 4: Simplify right side
    28,465x = 3,738,221,881
  5. Step 5: Solve for x
    x = 3,738,221,881/28,465
  6. Step 6: Final answer
    x = 131,326.96

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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.