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Finding the Third Proportional to 24,273 and 32,597.50

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Solution

The third proportional to 24,273 and 32,597.50 is: 43,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,273 : 32,597.50 = 32,597.50 : x
  2. Step 2: Convert to fraction form
    24,273/32,597.50 = 32,597.50/x
  3. Step 3: Cross multiply
    24,273x = 32,597.50 × 32,597.50
  4. Step 4: Simplify right side
    24,273x = 1,062,597,006.25
  5. Step 5: Solve for x
    x = 1,062,597,006.25/24,273
  6. Step 6: Final answer
    x = 43,776.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.