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Finding the Third Proportional to 8,332.88 and 17,726.63

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Solution

The third proportional to 8,332.88 and 17,726.63 is: 37,710.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,332.88 : 17,726.63 = 17,726.63 : x
  2. Step 2: Convert to fraction form
    8,332.88/17,726.63 = 17,726.63/x
  3. Step 3: Cross multiply
    8,332.88x = 17,726.63 × 17,726.63
  4. Step 4: Simplify right side
    8,332.88x = 314,233,233.89
  5. Step 5: Solve for x
    x = 314,233,233.89/8,332.88
  6. Step 6: Final answer
    x = 37,710.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.