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Finding the Third Proportional to 9,156.16 and 20,071.23

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Solution

The third proportional to 9,156.16 and 20,071.23 is: 43,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.16 : 20,071.23 = 20,071.23 : x
  2. Step 2: Convert to fraction form
    9,156.16/20,071.23 = 20,071.23/x
  3. Step 3: Cross multiply
    9,156.16x = 20,071.23 × 20,071.23
  4. Step 4: Simplify right side
    9,156.16x = 402,854,292.53
  5. Step 5: Solve for x
    x = 402,854,292.53/9,156.16
  6. Step 6: Final answer
    x = 43,998.15

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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.