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Finding the Third Proportional to 9,871 and 21,587.25

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Solution

The third proportional to 9,871 and 21,587.25 is: 47,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871 : 21,587.25 = 21,587.25 : x
  2. Step 2: Convert to fraction form
    9,871/21,587.25 = 21,587.25/x
  3. Step 3: Cross multiply
    9,871x = 21,587.25 × 21,587.25
  4. Step 4: Simplify right side
    9,871x = 466,009,362.56
  5. Step 5: Solve for x
    x = 466,009,362.56/9,871
  6. Step 6: Final answer
    x = 47,209.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.