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Finding the Third Proportional to 10,713.19 and 23,502.94

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Solution

The third proportional to 10,713.19 and 23,502.94 is: 51,561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.19 : 23,502.94 = 23,502.94 : x
  2. Step 2: Convert to fraction form
    10,713.19/23,502.94 = 23,502.94/x
  3. Step 3: Cross multiply
    10,713.19x = 23,502.94 × 23,502.94
  4. Step 4: Simplify right side
    10,713.19x = 552,388,071.13
  5. Step 5: Solve for x
    x = 552,388,071.13/10,713.19
  6. Step 6: Final answer
    x = 51,561.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.