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Finding the Third Proportional to 30,453.89 and 46,869.47

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Solution

The third proportional to 30,453.89 and 46,869.47 is: 72,133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,453.89 : 46,869.47 = 46,869.47 : x
  2. Step 2: Convert to fraction form
    30,453.89/46,869.47 = 46,869.47/x
  3. Step 3: Cross multiply
    30,453.89x = 46,869.47 × 46,869.47
  4. Step 4: Simplify right side
    30,453.89x = 2,196,747,100.91
  5. Step 5: Solve for x
    x = 2,196,747,100.91/30,453.89
  6. Step 6: Final answer
    x = 72,133.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.