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Finding the Third Proportional to 14,697 and 32,309

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Solution

The third proportional to 14,697 and 32,309 is: 71,026.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697 : 32,309 = 32,309 : x
  2. Step 2: Convert to fraction form
    14,697/32,309 = 32,309/x
  3. Step 3: Cross multiply
    14,697x = 32,309 × 32,309
  4. Step 4: Simplify right side
    14,697x = 1,043,871,481
  5. Step 5: Solve for x
    x = 1,043,871,481/14,697
  6. Step 6: Final answer
    x = 71,026.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.