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Finding the Third Proportional to 901.69 and 1,929.09

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Solution

The third proportional to 901.69 and 1,929.09 is: 4,127.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.69 : 1,929.09 = 1,929.09 : x
  2. Step 2: Convert to fraction form
    901.69/1,929.09 = 1,929.09/x
  3. Step 3: Cross multiply
    901.69x = 1,929.09 × 1,929.09
  4. Step 4: Simplify right side
    901.69x = 3,721,402.70
  5. Step 5: Solve for x
    x = 3,721,402.70/901.69
  6. Step 6: Final answer
    x = 4,127.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.