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Finding the Third Proportional to 19,247 and 28,871

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Solution

The third proportional to 19,247 and 28,871 is: 43,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,247 : 28,871 = 28,871 : x
  2. Step 2: Convert to fraction form
    19,247/28,871 = 28,871/x
  3. Step 3: Cross multiply
    19,247x = 28,871 × 28,871
  4. Step 4: Simplify right side
    19,247x = 833,534,641
  5. Step 5: Solve for x
    x = 833,534,641/19,247
  6. Step 6: Final answer
    x = 43,307.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.