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Finding the Third Proportional to 13,030.03 and 17,695.13

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Solution

The third proportional to 13,030.03 and 17,695.13 is: 24,030.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.03 : 17,695.13 = 17,695.13 : x
  2. Step 2: Convert to fraction form
    13,030.03/17,695.13 = 17,695.13/x
  3. Step 3: Cross multiply
    13,030.03x = 17,695.13 × 17,695.13
  4. Step 4: Simplify right side
    13,030.03x = 313,117,448.77
  5. Step 5: Solve for x
    x = 313,117,448.77/13,030.03
  6. Step 6: Final answer
    x = 24,030.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.