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Finding the Third Proportional to 3,298.50 and 4,762.13

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Solution

The third proportional to 3,298.50 and 4,762.13 is: 6,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.50 : 4,762.13 = 4,762.13 : x
  2. Step 2: Convert to fraction form
    3,298.50/4,762.13 = 4,762.13/x
  3. Step 3: Cross multiply
    3,298.50x = 4,762.13 × 4,762.13
  4. Step 4: Simplify right side
    3,298.50x = 22,677,834.52
  5. Step 5: Solve for x
    x = 22,677,834.52/3,298.50
  6. Step 6: Final answer
    x = 6,875.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.