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Finding the Third Proportional to 31,297 and 48,430

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Solution

The third proportional to 31,297 and 48,430 is: 74,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,297 : 48,430 = 48,430 : x
  2. Step 2: Convert to fraction form
    31,297/48,430 = 48,430/x
  3. Step 3: Cross multiply
    31,297x = 48,430 × 48,430
  4. Step 4: Simplify right side
    31,297x = 2,345,464,900
  5. Step 5: Solve for x
    x = 2,345,464,900/31,297
  6. Step 6: Final answer
    x = 74,942.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.