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Finding the Third Proportional to 6,507 and 10,346.25

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Solution

The third proportional to 6,507 and 10,346.25 is: 16,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507 : 10,346.25 = 10,346.25 : x
  2. Step 2: Convert to fraction form
    6,507/10,346.25 = 10,346.25/x
  3. Step 3: Cross multiply
    6,507x = 10,346.25 × 10,346.25
  4. Step 4: Simplify right side
    6,507x = 107,044,889.06
  5. Step 5: Solve for x
    x = 107,044,889.06/6,507
  6. Step 6: Final answer
    x = 16,450.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.