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Finding the Third Proportional to 15,895.31 and 24,573.75

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Solution

The third proportional to 15,895.31 and 24,573.75 is: 37,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,895.31 : 24,573.75 = 24,573.75 : x
  2. Step 2: Convert to fraction form
    15,895.31/24,573.75 = 24,573.75/x
  3. Step 3: Cross multiply
    15,895.31x = 24,573.75 × 24,573.75
  4. Step 4: Simplify right side
    15,895.31x = 603,869,189.06
  5. Step 5: Solve for x
    x = 603,869,189.06/15,895.31
  6. Step 6: Final answer
    x = 37,990.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.