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Finding the Third Proportional to 915.68 and 1,595.64

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Solution

The third proportional to 915.68 and 1,595.64 is: 2,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.68 : 1,595.64 = 1,595.64 : x
  2. Step 2: Convert to fraction form
    915.68/1,595.64 = 1,595.64/x
  3. Step 3: Cross multiply
    915.68x = 1,595.64 × 1,595.64
  4. Step 4: Simplify right side
    915.68x = 2,546,056.54
  5. Step 5: Solve for x
    x = 2,546,056.54/915.68
  6. Step 6: Final answer
    x = 2,780.51

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.