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Finding the Third Proportional to 6,507 and 10,186.50

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Solution

The third proportional to 6,507 and 10,186.50 is: 15,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507 : 10,186.50 = 10,186.50 : x
  2. Step 2: Convert to fraction form
    6,507/10,186.50 = 10,186.50/x
  3. Step 3: Cross multiply
    6,507x = 10,186.50 × 10,186.50
  4. Step 4: Simplify right side
    6,507x = 103,764,782.25
  5. Step 5: Solve for x
    x = 103,764,782.25/6,507
  6. Step 6: Final answer
    x = 15,946.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.