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Finding the Third Proportional to 30,854.25 and 46,507.50

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Solution

The third proportional to 30,854.25 and 46,507.50 is: 70,102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854.25 : 46,507.50 = 46,507.50 : x
  2. Step 2: Convert to fraction form
    30,854.25/46,507.50 = 46,507.50/x
  3. Step 3: Cross multiply
    30,854.25x = 46,507.50 × 46,507.50
  4. Step 4: Simplify right side
    30,854.25x = 2,162,947,556.25
  5. Step 5: Solve for x
    x = 2,162,947,556.25/30,854.25
  6. Step 6: Final answer
    x = 70,102.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.