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Finding the Third Proportional to 29,784.38 and 46,310.25

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Solution

The third proportional to 29,784.38 and 46,310.25 is: 72,005.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784.38 : 46,310.25 = 46,310.25 : x
  2. Step 2: Convert to fraction form
    29,784.38/46,310.25 = 46,310.25/x
  3. Step 3: Cross multiply
    29,784.38x = 46,310.25 × 46,310.25
  4. Step 4: Simplify right side
    29,784.38x = 2,144,639,255.06
  5. Step 5: Solve for x
    x = 2,144,639,255.06/29,784.38
  6. Step 6: Final answer
    x = 72,005.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.