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Finding the Third Proportional to 12,123 and 27,897.75

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Solution

The third proportional to 12,123 and 27,897.75 is: 64,199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123 : 27,897.75 = 27,897.75 : x
  2. Step 2: Convert to fraction form
    12,123/27,897.75 = 27,897.75/x
  3. Step 3: Cross multiply
    12,123x = 27,897.75 × 27,897.75
  4. Step 4: Simplify right side
    12,123x = 778,284,455.06
  5. Step 5: Solve for x
    x = 778,284,455.06/12,123
  6. Step 6: Final answer
    x = 64,199.00

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.