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Finding the Third Proportional to 3,218.63 and 6,526.13

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Solution

The third proportional to 3,218.63 and 6,526.13 is: 13,232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.63 : 6,526.13 = 6,526.13 : x
  2. Step 2: Convert to fraction form
    3,218.63/6,526.13 = 6,526.13/x
  3. Step 3: Cross multiply
    3,218.63x = 6,526.13 × 6,526.13
  4. Step 4: Simplify right side
    3,218.63x = 42,590,307.52
  5. Step 5: Solve for x
    x = 42,590,307.52/3,218.63
  6. Step 6: Final answer
    x = 13,232.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.