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Finding the Third Proportional to 14,730 and 23,715

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Solution

The third proportional to 14,730 and 23,715 is: 38,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,730 : 23,715 = 23,715 : x
  2. Step 2: Convert to fraction form
    14,730/23,715 = 23,715/x
  3. Step 3: Cross multiply
    14,730x = 23,715 × 23,715
  4. Step 4: Simplify right side
    14,730x = 562,401,225
  5. Step 5: Solve for x
    x = 562,401,225/14,730
  6. Step 6: Final answer
    x = 38,180.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.