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Finding the Third Proportional to 28,419 and 43,030.50

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Solution

The third proportional to 28,419 and 43,030.50 is: 65,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,419 : 43,030.50 = 43,030.50 : x
  2. Step 2: Convert to fraction form
    28,419/43,030.50 = 43,030.50/x
  3. Step 3: Cross multiply
    28,419x = 43,030.50 × 43,030.50
  4. Step 4: Simplify right side
    28,419x = 1,851,623,930.25
  5. Step 5: Solve for x
    x = 1,851,623,930.25/28,419
  6. Step 6: Final answer
    x = 65,154.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.