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Finding the Third Proportional to 14,528 and 33,971

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Solution

The third proportional to 14,528 and 33,971 is: 79,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,528 : 33,971 = 33,971 : x
  2. Step 2: Convert to fraction form
    14,528/33,971 = 33,971/x
  3. Step 3: Cross multiply
    14,528x = 33,971 × 33,971
  4. Step 4: Simplify right side
    14,528x = 1,154,028,841
  5. Step 5: Solve for x
    x = 1,154,028,841/14,528
  6. Step 6: Final answer
    x = 79,434.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.