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Finding the Third Proportional to 40,985.50 and 84,526.50

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Solution

The third proportional to 40,985.50 and 84,526.50 is: 174,323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,985.50 : 84,526.50 = 84,526.50 : x
  2. Step 2: Convert to fraction form
    40,985.50/84,526.50 = 84,526.50/x
  3. Step 3: Cross multiply
    40,985.50x = 84,526.50 × 84,526.50
  4. Step 4: Simplify right side
    40,985.50x = 7,144,729,202.25
  5. Step 5: Solve for x
    x = 7,144,729,202.25/40,985.50
  6. Step 6: Final answer
    x = 174,323.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.