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Finding the Third Proportional to 13,074 and 28,332

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Solution

The third proportional to 13,074 and 28,332 is: 61,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074 : 28,332 = 28,332 : x
  2. Step 2: Convert to fraction form
    13,074/28,332 = 28,332/x
  3. Step 3: Cross multiply
    13,074x = 28,332 × 28,332
  4. Step 4: Simplify right side
    13,074x = 802,702,224
  5. Step 5: Solve for x
    x = 802,702,224/13,074
  6. Step 6: Final answer
    x = 61,396.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.