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Finding the Third Proportional to 972.75 and 2,134.50

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Solution

The third proportional to 972.75 and 2,134.50 is: 4,683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.75 : 2,134.50 = 2,134.50 : x
  2. Step 2: Convert to fraction form
    972.75/2,134.50 = 2,134.50/x
  3. Step 3: Cross multiply
    972.75x = 2,134.50 × 2,134.50
  4. Step 4: Simplify right side
    972.75x = 4,556,090.25
  5. Step 5: Solve for x
    x = 4,556,090.25/972.75
  6. Step 6: Final answer
    x = 4,683.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.