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Finding the Third Proportional to 18,140 and 28,030

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Solution

The third proportional to 18,140 and 28,030 is: 43,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,140 : 28,030 = 28,030 : x
  2. Step 2: Convert to fraction form
    18,140/28,030 = 28,030/x
  3. Step 3: Cross multiply
    18,140x = 28,030 × 28,030
  4. Step 4: Simplify right side
    18,140x = 785,680,900
  5. Step 5: Solve for x
    x = 785,680,900/18,140
  6. Step 6: Final answer
    x = 43,312.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.