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Finding the Third Proportional to 38,761 and 84,444.50

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Solution

The third proportional to 38,761 and 84,444.50 is: 183,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,761 : 84,444.50 = 84,444.50 : x
  2. Step 2: Convert to fraction form
    38,761/84,444.50 = 84,444.50/x
  3. Step 3: Cross multiply
    38,761x = 84,444.50 × 84,444.50
  4. Step 4: Simplify right side
    38,761x = 7,130,873,580.25
  5. Step 5: Solve for x
    x = 7,130,873,580.25/38,761
  6. Step 6: Final answer
    x = 183,970.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.