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Finding the Third Proportional to 42,795.50 and 66,525

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Solution

The third proportional to 42,795.50 and 66,525 is: 103,412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,795.50 : 66,525 = 66,525 : x
  2. Step 2: Convert to fraction form
    42,795.50/66,525 = 66,525/x
  3. Step 3: Cross multiply
    42,795.50x = 66,525 × 66,525
  4. Step 4: Simplify right side
    42,795.50x = 4,425,575,625
  5. Step 5: Solve for x
    x = 4,425,575,625/42,795.50
  6. Step 6: Final answer
    x = 103,412.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.