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Finding the Third Proportional to 10,507 and 15,686

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Solution

The third proportional to 10,507 and 15,686 is: 23,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507 : 15,686 = 15,686 : x
  2. Step 2: Convert to fraction form
    10,507/15,686 = 15,686/x
  3. Step 3: Cross multiply
    10,507x = 15,686 × 15,686
  4. Step 4: Simplify right side
    10,507x = 246,050,596
  5. Step 5: Solve for x
    x = 246,050,596/10,507
  6. Step 6: Final answer
    x = 23,417.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.