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Finding the Third Proportional to 38,370 and 61,083

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Solution

The third proportional to 38,370 and 61,083 is: 97,240.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,370 : 61,083 = 61,083 : x
  2. Step 2: Convert to fraction form
    38,370/61,083 = 61,083/x
  3. Step 3: Cross multiply
    38,370x = 61,083 × 61,083
  4. Step 4: Simplify right side
    38,370x = 3,731,132,889
  5. Step 5: Solve for x
    x = 3,731,132,889/38,370
  6. Step 6: Final answer
    x = 97,240.89

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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.