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Finding the Third Proportional to 19,428 and 24,640.50

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Solution

The third proportional to 19,428 and 24,640.50 is: 31,251.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,428 : 24,640.50 = 24,640.50 : x
  2. Step 2: Convert to fraction form
    19,428/24,640.50 = 24,640.50/x
  3. Step 3: Cross multiply
    19,428x = 24,640.50 × 24,640.50
  4. Step 4: Simplify right side
    19,428x = 607,154,240.25
  5. Step 5: Solve for x
    x = 607,154,240.25/19,428
  6. Step 6: Final answer
    x = 31,251.51

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.