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Finding the Third Proportional to 1,929.56 and 3,010.13

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Solution

The third proportional to 1,929.56 and 3,010.13 is: 4,695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.56 : 3,010.13 = 3,010.13 : x
  2. Step 2: Convert to fraction form
    1,929.56/3,010.13 = 3,010.13/x
  3. Step 3: Cross multiply
    1,929.56x = 3,010.13 × 3,010.13
  4. Step 4: Simplify right side
    1,929.56x = 9,060,852.52
  5. Step 5: Solve for x
    x = 9,060,852.52/1,929.56
  6. Step 6: Final answer
    x = 4,695.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.