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Finding the Third Proportional to 2,915.58 and 4,560.47

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Solution

The third proportional to 2,915.58 and 4,560.47 is: 7,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.58 : 4,560.47 = 4,560.47 : x
  2. Step 2: Convert to fraction form
    2,915.58/4,560.47 = 4,560.47/x
  3. Step 3: Cross multiply
    2,915.58x = 4,560.47 × 4,560.47
  4. Step 4: Simplify right side
    2,915.58x = 20,797,875.22
  5. Step 5: Solve for x
    x = 20,797,875.22/2,915.58
  6. Step 6: Final answer
    x = 7,133.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.