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Finding the Third Proportional to 35,860 and 47,896.50

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Solution

The third proportional to 35,860 and 47,896.50 is: 63,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,860 : 47,896.50 = 47,896.50 : x
  2. Step 2: Convert to fraction form
    35,860/47,896.50 = 47,896.50/x
  3. Step 3: Cross multiply
    35,860x = 47,896.50 × 47,896.50
  4. Step 4: Simplify right side
    35,860x = 2,294,074,712.25
  5. Step 5: Solve for x
    x = 2,294,074,712.25/35,860
  6. Step 6: Final answer
    x = 63,973.08

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.