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Finding the Third Proportional to 24,878.75 and 37,302.75

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Solution

The third proportional to 24,878.75 and 37,302.75 is: 55,931.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,878.75 : 37,302.75 = 37,302.75 : x
  2. Step 2: Convert to fraction form
    24,878.75/37,302.75 = 37,302.75/x
  3. Step 3: Cross multiply
    24,878.75x = 37,302.75 × 37,302.75
  4. Step 4: Simplify right side
    24,878.75x = 1,391,495,157.56
  5. Step 5: Solve for x
    x = 1,391,495,157.56/24,878.75
  6. Step 6: Final answer
    x = 55,931.07

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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.