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Finding the Third Proportional to 15,950.81 and 32,549.63

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Solution

The third proportional to 15,950.81 and 32,549.63 is: 66,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,950.81 : 32,549.63 = 32,549.63 : x
  2. Step 2: Convert to fraction form
    15,950.81/32,549.63 = 32,549.63/x
  3. Step 3: Cross multiply
    15,950.81x = 32,549.63 × 32,549.63
  4. Step 4: Simplify right side
    15,950.81x = 1,059,478,087.64
  5. Step 5: Solve for x
    x = 1,059,478,087.64/15,950.81
  6. Step 6: Final answer
    x = 66,421.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.