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Finding the Third Proportional to 2,598.34 and 4,957.47

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Solution

The third proportional to 2,598.34 and 4,957.47 is: 9,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.34 : 4,957.47 = 4,957.47 : x
  2. Step 2: Convert to fraction form
    2,598.34/4,957.47 = 4,957.47/x
  3. Step 3: Cross multiply
    2,598.34x = 4,957.47 × 4,957.47
  4. Step 4: Simplify right side
    2,598.34x = 24,576,496.41
  5. Step 5: Solve for x
    x = 24,576,496.41/2,598.34
  6. Step 6: Final answer
    x = 9,458.52

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.