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Finding the Third Proportional to 30,228 and 49,953

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Solution

The third proportional to 30,228 and 49,953 is: 82,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,228 : 49,953 = 49,953 : x
  2. Step 2: Convert to fraction form
    30,228/49,953 = 49,953/x
  3. Step 3: Cross multiply
    30,228x = 49,953 × 49,953
  4. Step 4: Simplify right side
    30,228x = 2,495,302,209
  5. Step 5: Solve for x
    x = 2,495,302,209/30,228
  6. Step 6: Final answer
    x = 82,549.37

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.