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Finding the Third Proportional to 38,763 and 61,480.50

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Solution

The third proportional to 38,763 and 61,480.50 is: 97,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,763 : 61,480.50 = 61,480.50 : x
  2. Step 2: Convert to fraction form
    38,763/61,480.50 = 61,480.50/x
  3. Step 3: Cross multiply
    38,763x = 61,480.50 × 61,480.50
  4. Step 4: Simplify right side
    38,763x = 3,779,851,880.25
  5. Step 5: Solve for x
    x = 3,779,851,880.25/38,763
  6. Step 6: Final answer
    x = 97,511.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.