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Finding the Third Proportional to 25,466.50 and 38,248

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Solution

The third proportional to 25,466.50 and 38,248 is: 57,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,466.50 : 38,248 = 38,248 : x
  2. Step 2: Convert to fraction form
    25,466.50/38,248 = 38,248/x
  3. Step 3: Cross multiply
    25,466.50x = 38,248 × 38,248
  4. Step 4: Simplify right side
    25,466.50x = 1,462,909,504
  5. Step 5: Solve for x
    x = 1,462,909,504/25,466.50
  6. Step 6: Final answer
    x = 57,444.47

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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.