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Finding the Third Proportional to 25,102.50 and 40,368

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Solution

The third proportional to 25,102.50 and 40,368 is: 64,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.50 : 40,368 = 40,368 : x
  2. Step 2: Convert to fraction form
    25,102.50/40,368 = 40,368/x
  3. Step 3: Cross multiply
    25,102.50x = 40,368 × 40,368
  4. Step 4: Simplify right side
    25,102.50x = 1,629,575,424
  5. Step 5: Solve for x
    x = 1,629,575,424/25,102.50
  6. Step 6: Final answer
    x = 64,916.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.