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Finding the Third Proportional to 10,652.06 and 16,673.34

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Solution

The third proportional to 10,652.06 and 16,673.34 is: 26,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.06 : 16,673.34 = 16,673.34 : x
  2. Step 2: Convert to fraction form
    10,652.06/16,673.34 = 16,673.34/x
  3. Step 3: Cross multiply
    10,652.06x = 16,673.34 × 16,673.34
  4. Step 4: Simplify right side
    10,652.06x = 278,000,391.81
  5. Step 5: Solve for x
    x = 278,000,391.81/10,652.06
  6. Step 6: Final answer
    x = 26,098.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.