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Finding the Third Proportional to 10,185.47 and 21,301.03

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Solution

The third proportional to 10,185.47 and 21,301.03 is: 44,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.47 : 21,301.03 = 21,301.03 : x
  2. Step 2: Convert to fraction form
    10,185.47/21,301.03 = 21,301.03/x
  3. Step 3: Cross multiply
    10,185.47x = 21,301.03 × 21,301.03
  4. Step 4: Simplify right side
    10,185.47x = 453,733,932.31
  5. Step 5: Solve for x
    x = 453,733,932.31/10,185.47
  6. Step 6: Final answer
    x = 44,547.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.