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Finding the Third Proportional to 19,536 and 30,297

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Solution

The third proportional to 19,536 and 30,297 is: 46,985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536 : 30,297 = 30,297 : x
  2. Step 2: Convert to fraction form
    19,536/30,297 = 30,297/x
  3. Step 3: Cross multiply
    19,536x = 30,297 × 30,297
  4. Step 4: Simplify right side
    19,536x = 917,908,209
  5. Step 5: Solve for x
    x = 917,908,209/19,536
  6. Step 6: Final answer
    x = 46,985.47

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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.