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Finding the Third Proportional to 25,897.50 and 55,482

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Solution

The third proportional to 25,897.50 and 55,482 is: 118,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.50 : 55,482 = 55,482 : x
  2. Step 2: Convert to fraction form
    25,897.50/55,482 = 55,482/x
  3. Step 3: Cross multiply
    25,897.50x = 55,482 × 55,482
  4. Step 4: Simplify right side
    25,897.50x = 3,078,252,324
  5. Step 5: Solve for x
    x = 3,078,252,324/25,897.50
  6. Step 6: Final answer
    x = 118,862.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.