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Finding the Third Proportional to 38,991 and 61,985.75

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Solution

The third proportional to 38,991 and 61,985.75 is: 98,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,991 : 61,985.75 = 61,985.75 : x
  2. Step 2: Convert to fraction form
    38,991/61,985.75 = 61,985.75/x
  3. Step 3: Cross multiply
    38,991x = 61,985.75 × 61,985.75
  4. Step 4: Simplify right side
    38,991x = 3,842,233,203.06
  5. Step 5: Solve for x
    x = 3,842,233,203.06/38,991
  6. Step 6: Final answer
    x = 98,541.54

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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.