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Finding the Third Proportional to 28,852 and 61,854

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Solution

The third proportional to 28,852 and 61,854 is: 132,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,852 : 61,854 = 61,854 : x
  2. Step 2: Convert to fraction form
    28,852/61,854 = 61,854/x
  3. Step 3: Cross multiply
    28,852x = 61,854 × 61,854
  4. Step 4: Simplify right side
    28,852x = 3,825,917,316
  5. Step 5: Solve for x
    x = 3,825,917,316/28,852
  6. Step 6: Final answer
    x = 132,604.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.