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Finding the Third Proportional to 38,088 and 56,907

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Solution

The third proportional to 38,088 and 56,907 is: 85,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,088 : 56,907 = 56,907 : x
  2. Step 2: Convert to fraction form
    38,088/56,907 = 56,907/x
  3. Step 3: Cross multiply
    38,088x = 56,907 × 56,907
  4. Step 4: Simplify right side
    38,088x = 3,238,406,649
  5. Step 5: Solve for x
    x = 3,238,406,649/38,088
  6. Step 6: Final answer
    x = 85,024.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.