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Finding the Third Proportional to 30,998.16 and 66,052.10

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Solution

The third proportional to 30,998.16 and 66,052.10 is: 140,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.16 : 66,052.10 = 66,052.10 : x
  2. Step 2: Convert to fraction form
    30,998.16/66,052.10 = 66,052.10/x
  3. Step 3: Cross multiply
    30,998.16x = 66,052.10 × 66,052.10
  4. Step 4: Simplify right side
    30,998.16x = 4,362,879,733.80
  5. Step 5: Solve for x
    x = 4,362,879,733.80/30,998.16
  6. Step 6: Final answer
    x = 140,746.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.