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Finding the Third Proportional to 13,159.97 and 28,172.81

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Solution

The third proportional to 13,159.97 and 28,172.81 is: 60,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.97 : 28,172.81 = 28,172.81 : x
  2. Step 2: Convert to fraction form
    13,159.97/28,172.81 = 28,172.81/x
  3. Step 3: Cross multiply
    13,159.97x = 28,172.81 × 28,172.81
  4. Step 4: Simplify right side
    13,159.97x = 793,707,364.16
  5. Step 5: Solve for x
    x = 793,707,364.16/13,159.97
  6. Step 6: Final answer
    x = 60,312.25

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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.