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Finding the Third Proportional to 970.75 and 1,495.75

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Solution

The third proportional to 970.75 and 1,495.75 is: 2,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.75 : 1,495.75 = 1,495.75 : x
  2. Step 2: Convert to fraction form
    970.75/1,495.75 = 1,495.75/x
  3. Step 3: Cross multiply
    970.75x = 1,495.75 × 1,495.75
  4. Step 4: Simplify right side
    970.75x = 2,237,268.06
  5. Step 5: Solve for x
    x = 2,237,268.06/970.75
  6. Step 6: Final answer
    x = 2,304.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.