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Finding the Third Proportional to 901.60 and 1,355.01

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Solution

The third proportional to 901.60 and 1,355.01 is: 2,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.60 : 1,355.01 = 1,355.01 : x
  2. Step 2: Convert to fraction form
    901.60/1,355.01 = 1,355.01/x
  3. Step 3: Cross multiply
    901.60x = 1,355.01 × 1,355.01
  4. Step 4: Simplify right side
    901.60x = 1,836,051.46
  5. Step 5: Solve for x
    x = 1,836,051.46/901.60
  6. Step 6: Final answer
    x = 2,036.44

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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.