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Finding the Third Proportional to 38,257.13 and 53,779.13

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Solution

The third proportional to 38,257.13 and 53,779.13 is: 75,598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,257.13 : 53,779.13 = 53,779.13 : x
  2. Step 2: Convert to fraction form
    38,257.13/53,779.13 = 53,779.13/x
  3. Step 3: Cross multiply
    38,257.13x = 53,779.13 × 53,779.13
  4. Step 4: Simplify right side
    38,257.13x = 2,892,194,285.77
  5. Step 5: Solve for x
    x = 2,892,194,285.77/38,257.13
  6. Step 6: Final answer
    x = 75,598.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.