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Finding the Third Proportional to 14,776 and 32,423

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Solution

The third proportional to 14,776 and 32,423 is: 71,145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,776 : 32,423 = 32,423 : x
  2. Step 2: Convert to fraction form
    14,776/32,423 = 32,423/x
  3. Step 3: Cross multiply
    14,776x = 32,423 × 32,423
  4. Step 4: Simplify right side
    14,776x = 1,051,250,929
  5. Step 5: Solve for x
    x = 1,051,250,929/14,776
  6. Step 6: Final answer
    x = 71,145.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.