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Finding the Third Proportional to 25,457 and 38,233.50

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Solution

The third proportional to 25,457 and 38,233.50 is: 57,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,457 : 38,233.50 = 38,233.50 : x
  2. Step 2: Convert to fraction form
    25,457/38,233.50 = 38,233.50/x
  3. Step 3: Cross multiply
    25,457x = 38,233.50 × 38,233.50
  4. Step 4: Simplify right side
    25,457x = 1,461,800,522.25
  5. Step 5: Solve for x
    x = 1,461,800,522.25/25,457
  6. Step 6: Final answer
    x = 57,422.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.