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Finding the Third Proportional to 18,130.50 and 28,654.50

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Solution

The third proportional to 18,130.50 and 28,654.50 is: 45,287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,130.50 : 28,654.50 = 28,654.50 : x
  2. Step 2: Convert to fraction form
    18,130.50/28,654.50 = 28,654.50/x
  3. Step 3: Cross multiply
    18,130.50x = 28,654.50 × 28,654.50
  4. Step 4: Simplify right side
    18,130.50x = 821,080,370.25
  5. Step 5: Solve for x
    x = 821,080,370.25/18,130.50
  6. Step 6: Final answer
    x = 45,287.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.