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Finding the Third Proportional to 24,948 and 36,258.75

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Solution

The third proportional to 24,948 and 36,258.75 is: 52,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,948 : 36,258.75 = 36,258.75 : x
  2. Step 2: Convert to fraction form
    24,948/36,258.75 = 36,258.75/x
  3. Step 3: Cross multiply
    24,948x = 36,258.75 × 36,258.75
  4. Step 4: Simplify right side
    24,948x = 1,314,696,951.56
  5. Step 5: Solve for x
    x = 1,314,696,951.56/24,948
  6. Step 6: Final answer
    x = 52,697.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.