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Finding the Third Proportional to 35,003.50 and 53,801.25

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Solution

The third proportional to 35,003.50 and 53,801.25 is: 82,693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,003.50 : 53,801.25 = 53,801.25 : x
  2. Step 2: Convert to fraction form
    35,003.50/53,801.25 = 53,801.25/x
  3. Step 3: Cross multiply
    35,003.50x = 53,801.25 × 53,801.25
  4. Step 4: Simplify right side
    35,003.50x = 2,894,574,501.56
  5. Step 5: Solve for x
    x = 2,894,574,501.56/35,003.50
  6. Step 6: Final answer
    x = 82,693.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.