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Finding the Third Proportional to 13,080 and 28,333.13

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Solution

The third proportional to 13,080 and 28,333.13 is: 61,373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,080 : 28,333.13 = 28,333.13 : x
  2. Step 2: Convert to fraction form
    13,080/28,333.13 = 28,333.13/x
  3. Step 3: Cross multiply
    13,080x = 28,333.13 × 28,333.13
  4. Step 4: Simplify right side
    13,080x = 802,765,972.27
  5. Step 5: Solve for x
    x = 802,765,972.27/13,080
  6. Step 6: Final answer
    x = 61,373.55

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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.