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Finding the Third Proportional to 21,248 and 31,948

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Solution

The third proportional to 21,248 and 31,948 is: 48,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,248 : 31,948 = 31,948 : x
  2. Step 2: Convert to fraction form
    21,248/31,948 = 31,948/x
  3. Step 3: Cross multiply
    21,248x = 31,948 × 31,948
  4. Step 4: Simplify right side
    21,248x = 1,020,674,704
  5. Step 5: Solve for x
    x = 1,020,674,704/21,248
  6. Step 6: Final answer
    x = 48,036.27

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