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Finding the Third Proportional to 10,186 and 15,810

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Solution

The third proportional to 10,186 and 15,810 is: 24,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186 : 15,810 = 15,810 : x
  2. Step 2: Convert to fraction form
    10,186/15,810 = 15,810/x
  3. Step 3: Cross multiply
    10,186x = 15,810 × 15,810
  4. Step 4: Simplify right side
    10,186x = 249,956,100
  5. Step 5: Solve for x
    x = 249,956,100/10,186
  6. Step 6: Final answer
    x = 24,539.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.