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Finding the Third Proportional to 14,970 and 32,396

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Solution

The third proportional to 14,970 and 32,396 is: 70,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970 : 32,396 = 32,396 : x
  2. Step 2: Convert to fraction form
    14,970/32,396 = 32,396/x
  3. Step 3: Cross multiply
    14,970x = 32,396 × 32,396
  4. Step 4: Simplify right side
    14,970x = 1,049,500,816
  5. Step 5: Solve for x
    x = 1,049,500,816/14,970
  6. Step 6: Final answer
    x = 70,106.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.