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Finding the Third Proportional to 28,057 and 61,480

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Solution

The third proportional to 28,057 and 61,480 is: 134,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,057 : 61,480 = 61,480 : x
  2. Step 2: Convert to fraction form
    28,057/61,480 = 61,480/x
  3. Step 3: Cross multiply
    28,057x = 61,480 × 61,480
  4. Step 4: Simplify right side
    28,057x = 3,779,790,400
  5. Step 5: Solve for x
    x = 3,779,790,400/28,057
  6. Step 6: Final answer
    x = 134,718.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.