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Finding the Third Proportional to 23,766 and 36,459

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Solution

The third proportional to 23,766 and 36,459 is: 55,931.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,766 : 36,459 = 36,459 : x
  2. Step 2: Convert to fraction form
    23,766/36,459 = 36,459/x
  3. Step 3: Cross multiply
    23,766x = 36,459 × 36,459
  4. Step 4: Simplify right side
    23,766x = 1,329,258,681
  5. Step 5: Solve for x
    x = 1,329,258,681/23,766
  6. Step 6: Final answer
    x = 55,931.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.