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Finding the Third Proportional to 14,484 and 23,966

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Solution

The third proportional to 14,484 and 23,966 is: 39,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,484 : 23,966 = 23,966 : x
  2. Step 2: Convert to fraction form
    14,484/23,966 = 23,966/x
  3. Step 3: Cross multiply
    14,484x = 23,966 × 23,966
  4. Step 4: Simplify right side
    14,484x = 574,369,156
  5. Step 5: Solve for x
    x = 574,369,156/14,484
  6. Step 6: Final answer
    x = 39,655.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.