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Finding the Third Proportional to 35,481 and 59,132.50

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Solution

The third proportional to 35,481 and 59,132.50 is: 98,550.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,481 : 59,132.50 = 59,132.50 : x
  2. Step 2: Convert to fraction form
    35,481/59,132.50 = 59,132.50/x
  3. Step 3: Cross multiply
    35,481x = 59,132.50 × 59,132.50
  4. Step 4: Simplify right side
    35,481x = 3,496,652,556.25
  5. Step 5: Solve for x
    x = 3,496,652,556.25/35,481
  6. Step 6: Final answer
    x = 98,550.00

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.