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Finding the Third Proportional to 7,964 and 19,574

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Solution

The third proportional to 7,964 and 19,574 is: 48,109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964 : 19,574 = 19,574 : x
  2. Step 2: Convert to fraction form
    7,964/19,574 = 19,574/x
  3. Step 3: Cross multiply
    7,964x = 19,574 × 19,574
  4. Step 4: Simplify right side
    7,964x = 383,141,476
  5. Step 5: Solve for x
    x = 383,141,476/7,964
  6. Step 6: Final answer
    x = 48,109.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.