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Finding the Third Proportional to 30,266 and 53,297

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Solution

The third proportional to 30,266 and 53,297 is: 93,853.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,266 : 53,297 = 53,297 : x
  2. Step 2: Convert to fraction form
    30,266/53,297 = 53,297/x
  3. Step 3: Cross multiply
    30,266x = 53,297 × 53,297
  4. Step 4: Simplify right side
    30,266x = 2,840,570,209
  5. Step 5: Solve for x
    x = 2,840,570,209/30,266
  6. Step 6: Final answer
    x = 93,853.51

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.