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Finding the Third Proportional to 46,428.19 and 70,120.69

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Solution

The third proportional to 46,428.19 and 70,120.69 is: 105,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,428.19 : 70,120.69 = 70,120.69 : x
  2. Step 2: Convert to fraction form
    46,428.19/70,120.69 = 70,120.69/x
  3. Step 3: Cross multiply
    46,428.19x = 70,120.69 × 70,120.69
  4. Step 4: Simplify right side
    46,428.19x = 4,916,910,815.47
  5. Step 5: Solve for x
    x = 4,916,910,815.47/46,428.19
  6. Step 6: Final answer
    x = 105,903.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.