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Finding the Third Proportional to 9,370.13 and 14,117.63

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Solution

The third proportional to 9,370.13 and 14,117.63 is: 21,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370.13 : 14,117.63 = 14,117.63 : x
  2. Step 2: Convert to fraction form
    9,370.13/14,117.63 = 14,117.63/x
  3. Step 3: Cross multiply
    9,370.13x = 14,117.63 × 14,117.63
  4. Step 4: Simplify right side
    9,370.13x = 199,307,335.64
  5. Step 5: Solve for x
    x = 199,307,335.64/9,370.13
  6. Step 6: Final answer
    x = 21,270.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.