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Finding the Third Proportional to 20,101.50 and 28,854

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Solution

The third proportional to 20,101.50 and 28,854 is: 41,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.50 : 28,854 = 28,854 : x
  2. Step 2: Convert to fraction form
    20,101.50/28,854 = 28,854/x
  3. Step 3: Cross multiply
    20,101.50x = 28,854 × 28,854
  4. Step 4: Simplify right side
    20,101.50x = 832,553,316
  5. Step 5: Solve for x
    x = 832,553,316/20,101.50
  6. Step 6: Final answer
    x = 41,417.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.