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Finding the Third Proportional to 46,721.81 and 70,140.94

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Solution

The third proportional to 46,721.81 and 70,140.94 is: 105,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,721.81 : 70,140.94 = 70,140.94 : x
  2. Step 2: Convert to fraction form
    46,721.81/70,140.94 = 70,140.94/x
  3. Step 3: Cross multiply
    46,721.81x = 70,140.94 × 70,140.94
  4. Step 4: Simplify right side
    46,721.81x = 4,919,751,113.38
  5. Step 5: Solve for x
    x = 4,919,751,113.38/46,721.81
  6. Step 6: Final answer
    x = 105,298.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.