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Finding the Third Proportional to 10,221.19 and 14,595.19

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Solution

The third proportional to 10,221.19 and 14,595.19 is: 20,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.19 : 14,595.19 = 14,595.19 : x
  2. Step 2: Convert to fraction form
    10,221.19/14,595.19 = 14,595.19/x
  3. Step 3: Cross multiply
    10,221.19x = 14,595.19 × 14,595.19
  4. Step 4: Simplify right side
    10,221.19x = 213,019,498.16
  5. Step 5: Solve for x
    x = 213,019,498.16/10,221.19
  6. Step 6: Final answer
    x = 20,840.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.