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Finding the Third Proportional to 23,457.38 and 47,868.75

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Solution

The third proportional to 23,457.38 and 47,868.75 is: 97,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,457.38 : 47,868.75 = 47,868.75 : x
  2. Step 2: Convert to fraction form
    23,457.38/47,868.75 = 47,868.75/x
  3. Step 3: Cross multiply
    23,457.38x = 47,868.75 × 47,868.75
  4. Step 4: Simplify right side
    23,457.38x = 2,291,417,226.56
  5. Step 5: Solve for x
    x = 2,291,417,226.56/23,457.38
  6. Step 6: Final answer
    x = 97,684.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.