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Finding the Third Proportional to 19,537 and 30,297

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Solution

The third proportional to 19,537 and 30,297 is: 46,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537 : 30,297 = 30,297 : x
  2. Step 2: Convert to fraction form
    19,537/30,297 = 30,297/x
  3. Step 3: Cross multiply
    19,537x = 30,297 × 30,297
  4. Step 4: Simplify right side
    19,537x = 917,908,209
  5. Step 5: Solve for x
    x = 917,908,209/19,537
  6. Step 6: Final answer
    x = 46,983.07

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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.