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Finding the Third Proportional to 13,537.13 and 17,830.13

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Solution

The third proportional to 13,537.13 and 17,830.13 is: 23,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.13 : 17,830.13 = 17,830.13 : x
  2. Step 2: Convert to fraction form
    13,537.13/17,830.13 = 17,830.13/x
  3. Step 3: Cross multiply
    13,537.13x = 17,830.13 × 17,830.13
  4. Step 4: Simplify right side
    13,537.13x = 317,913,357.52
  5. Step 5: Solve for x
    x = 317,913,357.52/13,537.13
  6. Step 6: Final answer
    x = 23,484.56

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.