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Finding the Third Proportional to 35,340.19 and 51,950.25

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Solution

The third proportional to 35,340.19 and 51,950.25 is: 76,367.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,340.19 : 51,950.25 = 51,950.25 : x
  2. Step 2: Convert to fraction form
    35,340.19/51,950.25 = 51,950.25/x
  3. Step 3: Cross multiply
    35,340.19x = 51,950.25 × 51,950.25
  4. Step 4: Simplify right side
    35,340.19x = 2,698,828,475.06
  5. Step 5: Solve for x
    x = 2,698,828,475.06/35,340.19
  6. Step 6: Final answer
    x = 76,367.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.