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Finding the Third Proportional to 7,897.50 and 16,615.13

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Solution

The third proportional to 7,897.50 and 16,615.13 is: 34,955.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.50 : 16,615.13 = 16,615.13 : x
  2. Step 2: Convert to fraction form
    7,897.50/16,615.13 = 16,615.13/x
  3. Step 3: Cross multiply
    7,897.50x = 16,615.13 × 16,615.13
  4. Step 4: Simplify right side
    7,897.50x = 276,062,378.77
  5. Step 5: Solve for x
    x = 276,062,378.77/7,897.50
  6. Step 6: Final answer
    x = 34,955.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.