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Finding the Third Proportional to 31,114 and 48,046

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Solution

The third proportional to 31,114 and 48,046 is: 74,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,114 : 48,046 = 48,046 : x
  2. Step 2: Convert to fraction form
    31,114/48,046 = 48,046/x
  3. Step 3: Cross multiply
    31,114x = 48,046 × 48,046
  4. Step 4: Simplify right side
    31,114x = 2,308,418,116
  5. Step 5: Solve for x
    x = 2,308,418,116/31,114
  6. Step 6: Final answer
    x = 74,192.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.