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Finding the Third Proportional to 25,872 and 56,482.50

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Solution

The third proportional to 25,872 and 56,482.50 is: 123,309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872 : 56,482.50 = 56,482.50 : x
  2. Step 2: Convert to fraction form
    25,872/56,482.50 = 56,482.50/x
  3. Step 3: Cross multiply
    25,872x = 56,482.50 × 56,482.50
  4. Step 4: Simplify right side
    25,872x = 3,190,272,806.25
  5. Step 5: Solve for x
    x = 3,190,272,806.25/25,872
  6. Step 6: Final answer
    x = 123,309.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.