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Finding the Third Proportional to 10,877.63 and 25,086.38

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Solution

The third proportional to 10,877.63 and 25,086.38 is: 57,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.63 : 25,086.38 = 25,086.38 : x
  2. Step 2: Convert to fraction form
    10,877.63/25,086.38 = 25,086.38/x
  3. Step 3: Cross multiply
    10,877.63x = 25,086.38 × 25,086.38
  4. Step 4: Simplify right side
    10,877.63x = 629,326,210.64
  5. Step 5: Solve for x
    x = 629,326,210.64/10,877.63
  6. Step 6: Final answer
    x = 57,855.11

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.