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Finding the Third Proportional to 28,636 and 43,007

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Solution

The third proportional to 28,636 and 43,007 is: 64,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,636 : 43,007 = 43,007 : x
  2. Step 2: Convert to fraction form
    28,636/43,007 = 43,007/x
  3. Step 3: Cross multiply
    28,636x = 43,007 × 43,007
  4. Step 4: Simplify right side
    28,636x = 1,849,602,049
  5. Step 5: Solve for x
    x = 1,849,602,049/28,636
  6. Step 6: Final answer
    x = 64,590.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.