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Finding the Third Proportional to 30,871.50 and 46,123.50

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Solution

The third proportional to 30,871.50 and 46,123.50 is: 68,910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.50 : 46,123.50 = 46,123.50 : x
  2. Step 2: Convert to fraction form
    30,871.50/46,123.50 = 46,123.50/x
  3. Step 3: Cross multiply
    30,871.50x = 46,123.50 × 46,123.50
  4. Step 4: Simplify right side
    30,871.50x = 2,127,377,252.25
  5. Step 5: Solve for x
    x = 2,127,377,252.25/30,871.50
  6. Step 6: Final answer
    x = 68,910.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.