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Finding the Third Proportional to 7,574.34 and 16,358.63

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Solution

The third proportional to 7,574.34 and 16,358.63 is: 35,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.34 : 16,358.63 = 16,358.63 : x
  2. Step 2: Convert to fraction form
    7,574.34/16,358.63 = 16,358.63/x
  3. Step 3: Cross multiply
    7,574.34x = 16,358.63 × 16,358.63
  4. Step 4: Simplify right side
    7,574.34x = 267,604,611.89
  5. Step 5: Solve for x
    x = 267,604,611.89/7,574.34
  6. Step 6: Final answer
    x = 35,330.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.