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Finding the Third Proportional to 14,742 and 31,948

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Solution

The third proportional to 14,742 and 31,948 is: 69,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742 : 31,948 = 31,948 : x
  2. Step 2: Convert to fraction form
    14,742/31,948 = 31,948/x
  3. Step 3: Cross multiply
    14,742x = 31,948 × 31,948
  4. Step 4: Simplify right side
    14,742x = 1,020,674,704
  5. Step 5: Solve for x
    x = 1,020,674,704/14,742
  6. Step 6: Final answer
    x = 69,235.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.