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Finding the Third Proportional to 23,712.75 and 54,897.75

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Solution

The third proportional to 23,712.75 and 54,897.75 is: 127,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712.75 : 54,897.75 = 54,897.75 : x
  2. Step 2: Convert to fraction form
    23,712.75/54,897.75 = 54,897.75/x
  3. Step 3: Cross multiply
    23,712.75x = 54,897.75 × 54,897.75
  4. Step 4: Simplify right side
    23,712.75x = 3,013,762,955.06
  5. Step 5: Solve for x
    x = 3,013,762,955.06/23,712.75
  6. Step 6: Final answer
    x = 127,094.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.