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Finding the Third Proportional to 20,303.16 and 48,911.34

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Solution

The third proportional to 20,303.16 and 48,911.34 is: 117,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,303.16 : 48,911.34 = 48,911.34 : x
  2. Step 2: Convert to fraction form
    20,303.16/48,911.34 = 48,911.34/x
  3. Step 3: Cross multiply
    20,303.16x = 48,911.34 × 48,911.34
  4. Step 4: Simplify right side
    20,303.16x = 2,392,319,547.43
  5. Step 5: Solve for x
    x = 2,392,319,547.43/20,303.16
  6. Step 6: Final answer
    x = 117,829.93

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.