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Finding the Third Proportional to 901.76 and 1,345.04

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Solution

The third proportional to 901.76 and 1,345.04 is: 2,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.76 : 1,345.04 = 1,345.04 : x
  2. Step 2: Convert to fraction form
    901.76/1,345.04 = 1,345.04/x
  3. Step 3: Cross multiply
    901.76x = 1,345.04 × 1,345.04
  4. Step 4: Simplify right side
    901.76x = 1,809,140.59
  5. Step 5: Solve for x
    x = 1,809,140.59/901.76
  6. Step 6: Final answer
    x = 2,006.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.