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Finding the Third Proportional to 14,769 and 32,229

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Solution

The third proportional to 14,769 and 32,229 is: 70,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,769 : 32,229 = 32,229 : x
  2. Step 2: Convert to fraction form
    14,769/32,229 = 32,229/x
  3. Step 3: Cross multiply
    14,769x = 32,229 × 32,229
  4. Step 4: Simplify right side
    14,769x = 1,038,708,441
  5. Step 5: Solve for x
    x = 1,038,708,441/14,769
  6. Step 6: Final answer
    x = 70,330.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.