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Finding the Third Proportional to 4,756.88 and 7,575.63

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Solution

The third proportional to 4,756.88 and 7,575.63 is: 12,064.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.88 : 7,575.63 = 7,575.63 : x
  2. Step 2: Convert to fraction form
    4,756.88/7,575.63 = 7,575.63/x
  3. Step 3: Cross multiply
    4,756.88x = 7,575.63 × 7,575.63
  4. Step 4: Simplify right side
    4,756.88x = 57,390,094.14
  5. Step 5: Solve for x
    x = 57,390,094.14/4,756.88
  6. Step 6: Final answer
    x = 12,064.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.