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Finding the Third Proportional to 15,957 and 23,779.50

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Solution

The third proportional to 15,957 and 23,779.50 is: 35,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957 : 23,779.50 = 23,779.50 : x
  2. Step 2: Convert to fraction form
    15,957/23,779.50 = 23,779.50/x
  3. Step 3: Cross multiply
    15,957x = 23,779.50 × 23,779.50
  4. Step 4: Simplify right side
    15,957x = 565,464,620.25
  5. Step 5: Solve for x
    x = 565,464,620.25/15,957
  6. Step 6: Final answer
    x = 35,436.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.