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Finding the Third Proportional to 13,323.13 and 28,492.63

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Solution

The third proportional to 13,323.13 and 28,492.63 is: 60,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,323.13 : 28,492.63 = 28,492.63 : x
  2. Step 2: Convert to fraction form
    13,323.13/28,492.63 = 28,492.63/x
  3. Step 3: Cross multiply
    13,323.13x = 28,492.63 × 28,492.63
  4. Step 4: Simplify right side
    13,323.13x = 811,829,679.39
  5. Step 5: Solve for x
    x = 811,829,679.39/13,323.13
  6. Step 6: Final answer
    x = 60,933.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.