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Finding the Third Proportional to 28,316 and 39,614

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Solution

The third proportional to 28,316 and 39,614 is: 55,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,316 : 39,614 = 39,614 : x
  2. Step 2: Convert to fraction form
    28,316/39,614 = 39,614/x
  3. Step 3: Cross multiply
    28,316x = 39,614 × 39,614
  4. Step 4: Simplify right side
    28,316x = 1,569,268,996
  5. Step 5: Solve for x
    x = 1,569,268,996/28,316
  6. Step 6: Final answer
    x = 55,419.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.