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Finding the Third Proportional to 24,080 and 35,423

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Solution

The third proportional to 24,080 and 35,423 is: 52,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,080 : 35,423 = 35,423 : x
  2. Step 2: Convert to fraction form
    24,080/35,423 = 35,423/x
  3. Step 3: Cross multiply
    24,080x = 35,423 × 35,423
  4. Step 4: Simplify right side
    24,080x = 1,254,788,929
  5. Step 5: Solve for x
    x = 1,254,788,929/24,080
  6. Step 6: Final answer
    x = 52,109.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.