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Finding the Third Proportional to 28,705.64 and 61,563.80

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Solution

The third proportional to 28,705.64 and 61,563.80 is: 132,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,705.64 : 61,563.80 = 61,563.80 : x
  2. Step 2: Convert to fraction form
    28,705.64/61,563.80 = 61,563.80/x
  3. Step 3: Cross multiply
    28,705.64x = 61,563.80 × 61,563.80
  4. Step 4: Simplify right side
    28,705.64x = 3,790,101,085.67
  5. Step 5: Solve for x
    x = 3,790,101,085.67/28,705.64
  6. Step 6: Final answer
    x = 132,033.32

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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.