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Finding the Third Proportional to 45,083.75 and 70,355.13

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Solution

The third proportional to 45,083.75 and 70,355.13 is: 109,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,083.75 : 70,355.13 = 70,355.13 : x
  2. Step 2: Convert to fraction form
    45,083.75/70,355.13 = 70,355.13/x
  3. Step 3: Cross multiply
    45,083.75x = 70,355.13 × 70,355.13
  4. Step 4: Simplify right side
    45,083.75x = 4,949,843,613.77
  5. Step 5: Solve for x
    x = 4,949,843,613.77/45,083.75
  6. Step 6: Final answer
    x = 109,792.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.