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Finding the Third Proportional to 10,023 and 16,192.50

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Solution

The third proportional to 10,023 and 16,192.50 is: 26,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023 : 16,192.50 = 16,192.50 : x
  2. Step 2: Convert to fraction form
    10,023/16,192.50 = 16,192.50/x
  3. Step 3: Cross multiply
    10,023x = 16,192.50 × 16,192.50
  4. Step 4: Simplify right side
    10,023x = 262,197,056.25
  5. Step 5: Solve for x
    x = 262,197,056.25/10,023
  6. Step 6: Final answer
    x = 26,159.54

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.