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Finding the Third Proportional to 13,213.13 and 28,841.06

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Solution

The third proportional to 13,213.13 and 28,841.06 is: 62,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.13 : 28,841.06 = 28,841.06 : x
  2. Step 2: Convert to fraction form
    13,213.13/28,841.06 = 28,841.06/x
  3. Step 3: Cross multiply
    13,213.13x = 28,841.06 × 28,841.06
  4. Step 4: Simplify right side
    13,213.13x = 831,806,886.13
  5. Step 5: Solve for x
    x = 831,806,886.13/13,213.13
  6. Step 6: Final answer
    x = 62,953.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.