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Finding the Third Proportional to 10,931 and 16,526.50

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Solution

The third proportional to 10,931 and 16,526.50 is: 24,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931 : 16,526.50 = 16,526.50 : x
  2. Step 2: Convert to fraction form
    10,931/16,526.50 = 16,526.50/x
  3. Step 3: Cross multiply
    10,931x = 16,526.50 × 16,526.50
  4. Step 4: Simplify right side
    10,931x = 273,125,202.25
  5. Step 5: Solve for x
    x = 273,125,202.25/10,931
  6. Step 6: Final answer
    x = 24,986.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.