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Finding the Third Proportional to 20,583 and 48,127.50

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Solution

The third proportional to 20,583 and 48,127.50 is: 112,532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,583 : 48,127.50 = 48,127.50 : x
  2. Step 2: Convert to fraction form
    20,583/48,127.50 = 48,127.50/x
  3. Step 3: Cross multiply
    20,583x = 48,127.50 × 48,127.50
  4. Step 4: Simplify right side
    20,583x = 2,316,256,256.25
  5. Step 5: Solve for x
    x = 2,316,256,256.25/20,583
  6. Step 6: Final answer
    x = 112,532.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.