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Finding the Third Proportional to 7,570.13 and 16,340.63

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Solution

The third proportional to 7,570.13 and 16,340.63 is: 35,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.13 : 16,340.63 = 16,340.63 : x
  2. Step 2: Convert to fraction form
    7,570.13/16,340.63 = 16,340.63/x
  3. Step 3: Cross multiply
    7,570.13x = 16,340.63 × 16,340.63
  4. Step 4: Simplify right side
    7,570.13x = 267,016,025.39
  5. Step 5: Solve for x
    x = 267,016,025.39/7,570.13
  6. Step 6: Final answer
    x = 35,272.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.