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Finding the Third Proportional to 9,740 and 15,516

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Solution

The third proportional to 9,740 and 15,516 is: 24,717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740 : 15,516 = 15,516 : x
  2. Step 2: Convert to fraction form
    9,740/15,516 = 15,516/x
  3. Step 3: Cross multiply
    9,740x = 15,516 × 15,516
  4. Step 4: Simplify right side
    9,740x = 240,746,256
  5. Step 5: Solve for x
    x = 240,746,256/9,740
  6. Step 6: Final answer
    x = 24,717.27

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1.5x scale

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.