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Finding the Third Proportional to 20,497.64 and 44,792.16

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Solution

The third proportional to 20,497.64 and 44,792.16 is: 97,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.64 : 44,792.16 = 44,792.16 : x
  2. Step 2: Convert to fraction form
    20,497.64/44,792.16 = 44,792.16/x
  3. Step 3: Cross multiply
    20,497.64x = 44,792.16 × 44,792.16
  4. Step 4: Simplify right side
    20,497.64x = 2,006,337,261.52
  5. Step 5: Solve for x
    x = 2,006,337,261.52/20,497.64
  6. Step 6: Final answer
    x = 97,881.38

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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.