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Finding the Third Proportional to 14,321 and 31,465

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Solution

The third proportional to 14,321 and 31,465 is: 69,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321 : 31,465 = 31,465 : x
  2. Step 2: Convert to fraction form
    14,321/31,465 = 31,465/x
  3. Step 3: Cross multiply
    14,321x = 31,465 × 31,465
  4. Step 4: Simplify right side
    14,321x = 990,046,225
  5. Step 5: Solve for x
    x = 990,046,225/14,321
  6. Step 6: Final answer
    x = 69,132.48

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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.