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Finding the Third Proportional to 4,953.02 and 7,347.66

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Solution

The third proportional to 4,953.02 and 7,347.66 is: 10,900.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.02 : 7,347.66 = 7,347.66 : x
  2. Step 2: Convert to fraction form
    4,953.02/7,347.66 = 7,347.66/x
  3. Step 3: Cross multiply
    4,953.02x = 7,347.66 × 7,347.66
  4. Step 4: Simplify right side
    4,953.02x = 53,988,052.37
  5. Step 5: Solve for x
    x = 53,988,052.37/4,953.02
  6. Step 6: Final answer
    x = 10,900.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.