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Finding the Third Proportional to 3,572.86 and 7,316.58

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Solution

The third proportional to 3,572.86 and 7,316.58 is: 14,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.86 : 7,316.58 = 7,316.58 : x
  2. Step 2: Convert to fraction form
    3,572.86/7,316.58 = 7,316.58/x
  3. Step 3: Cross multiply
    3,572.86x = 7,316.58 × 7,316.58
  4. Step 4: Simplify right side
    3,572.86x = 53,532,315.46
  5. Step 5: Solve for x
    x = 53,532,315.46/3,572.86
  6. Step 6: Final answer
    x = 14,983.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.