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Finding the Third Proportional to 7,398 and 15,341.63

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Solution

The third proportional to 7,398 and 15,341.63 is: 31,814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398 : 15,341.63 = 15,341.63 : x
  2. Step 2: Convert to fraction form
    7,398/15,341.63 = 15,341.63/x
  3. Step 3: Cross multiply
    7,398x = 15,341.63 × 15,341.63
  4. Step 4: Simplify right side
    7,398x = 235,365,457.64
  5. Step 5: Solve for x
    x = 235,365,457.64/7,398
  6. Step 6: Final answer
    x = 31,814.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.