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Finding the Third Proportional to 14,358 and 21,114

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Solution

The third proportional to 14,358 and 21,114 is: 31,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358 : 21,114 = 21,114 : x
  2. Step 2: Convert to fraction form
    14,358/21,114 = 21,114/x
  3. Step 3: Cross multiply
    14,358x = 21,114 × 21,114
  4. Step 4: Simplify right side
    14,358x = 445,800,996
  5. Step 5: Solve for x
    x = 445,800,996/14,358
  6. Step 6: Final answer
    x = 31,048.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.