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Finding the Third Proportional to 12,564.75 and 26,421

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Solution

The third proportional to 12,564.75 and 26,421 is: 55,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.75 : 26,421 = 26,421 : x
  2. Step 2: Convert to fraction form
    12,564.75/26,421 = 26,421/x
  3. Step 3: Cross multiply
    12,564.75x = 26,421 × 26,421
  4. Step 4: Simplify right side
    12,564.75x = 698,069,241
  5. Step 5: Solve for x
    x = 698,069,241/12,564.75
  6. Step 6: Final answer
    x = 55,557.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.