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Finding the Third Proportional to 29,860.50 and 46,606.50

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Solution

The third proportional to 29,860.50 and 46,606.50 is: 72,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,860.50 : 46,606.50 = 46,606.50 : x
  2. Step 2: Convert to fraction form
    29,860.50/46,606.50 = 46,606.50/x
  3. Step 3: Cross multiply
    29,860.50x = 46,606.50 × 46,606.50
  4. Step 4: Simplify right side
    29,860.50x = 2,172,165,842.25
  5. Step 5: Solve for x
    x = 2,172,165,842.25/29,860.50
  6. Step 6: Final answer
    x = 72,743.79

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.