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Finding the Third Proportional to 25,886.50 and 55,464

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Solution

The third proportional to 25,886.50 and 55,464 is: 118,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,886.50 : 55,464 = 55,464 : x
  2. Step 2: Convert to fraction form
    25,886.50/55,464 = 55,464/x
  3. Step 3: Cross multiply
    25,886.50x = 55,464 × 55,464
  4. Step 4: Simplify right side
    25,886.50x = 3,076,255,296
  5. Step 5: Solve for x
    x = 3,076,255,296/25,886.50
  6. Step 6: Final answer
    x = 118,836.28

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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.