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Finding the Third Proportional to 10,164 and 15,730

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Solution

The third proportional to 10,164 and 15,730 is: 24,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164 : 15,730 = 15,730 : x
  2. Step 2: Convert to fraction form
    10,164/15,730 = 15,730/x
  3. Step 3: Cross multiply
    10,164x = 15,730 × 15,730
  4. Step 4: Simplify right side
    10,164x = 247,432,900
  5. Step 5: Solve for x
    x = 247,432,900/10,164
  6. Step 6: Final answer
    x = 24,344.05

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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.