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Finding the Third Proportional to 9,770 and 15,315

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Solution

The third proportional to 9,770 and 15,315 is: 24,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770 : 15,315 = 15,315 : x
  2. Step 2: Convert to fraction form
    9,770/15,315 = 15,315/x
  3. Step 3: Cross multiply
    9,770x = 15,315 × 15,315
  4. Step 4: Simplify right side
    9,770x = 234,549,225
  5. Step 5: Solve for x
    x = 234,549,225/9,770
  6. Step 6: Final answer
    x = 24,007.09

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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.