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Finding the Third Proportional to 10,597.50 and 16,033

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Solution

The third proportional to 10,597.50 and 16,033 is: 24,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.50 : 16,033 = 16,033 : x
  2. Step 2: Convert to fraction form
    10,597.50/16,033 = 16,033/x
  3. Step 3: Cross multiply
    10,597.50x = 16,033 × 16,033
  4. Step 4: Simplify right side
    10,597.50x = 257,057,089
  5. Step 5: Solve for x
    x = 257,057,089/10,597.50
  6. Step 6: Final answer
    x = 24,256.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.