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Finding the Third Proportional to 7,008.50 and 10,513

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Solution

The third proportional to 7,008.50 and 10,513 is: 15,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.50 : 10,513 = 10,513 : x
  2. Step 2: Convert to fraction form
    7,008.50/10,513 = 10,513/x
  3. Step 3: Cross multiply
    7,008.50x = 10,513 × 10,513
  4. Step 4: Simplify right side
    7,008.50x = 110,523,169
  5. Step 5: Solve for x
    x = 110,523,169/7,008.50
  6. Step 6: Final answer
    x = 15,769.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.