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Finding the Third Proportional to 2,152.83 and 4,670.87

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Solution

The third proportional to 2,152.83 and 4,670.87 is: 10,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.83 : 4,670.87 = 4,670.87 : x
  2. Step 2: Convert to fraction form
    2,152.83/4,670.87 = 4,670.87/x
  3. Step 3: Cross multiply
    2,152.83x = 4,670.87 × 4,670.87
  4. Step 4: Simplify right side
    2,152.83x = 21,817,009.41
  5. Step 5: Solve for x
    x = 21,817,009.41/2,152.83
  6. Step 6: Final answer
    x = 10,134.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.