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Finding the Third Proportional to 49,284.38 and 77,210.63

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Solution

The third proportional to 49,284.38 and 77,210.63 is: 120,960.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,284.38 : 77,210.63 = 77,210.63 : x
  2. Step 2: Convert to fraction form
    49,284.38/77,210.63 = 77,210.63/x
  3. Step 3: Cross multiply
    49,284.38x = 77,210.63 × 77,210.63
  4. Step 4: Simplify right side
    49,284.38x = 5,961,480,612.89
  5. Step 5: Solve for x
    x = 5,961,480,612.89/49,284.38
  6. Step 6: Final answer
    x = 120,960.86

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.