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Finding the Third Proportional to 16,539 and 25,420.50

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Solution

The third proportional to 16,539 and 25,420.50 is: 39,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539 : 25,420.50 = 25,420.50 : x
  2. Step 2: Convert to fraction form
    16,539/25,420.50 = 25,420.50/x
  3. Step 3: Cross multiply
    16,539x = 25,420.50 × 25,420.50
  4. Step 4: Simplify right side
    16,539x = 646,201,820.25
  5. Step 5: Solve for x
    x = 646,201,820.25/16,539
  6. Step 6: Final answer
    x = 39,071.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.