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Finding the Third Proportional to 15,345 and 23,033

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Solution

The third proportional to 15,345 and 23,033 is: 34,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,345 : 23,033 = 23,033 : x
  2. Step 2: Convert to fraction form
    15,345/23,033 = 23,033/x
  3. Step 3: Cross multiply
    15,345x = 23,033 × 23,033
  4. Step 4: Simplify right side
    15,345x = 530,519,089
  5. Step 5: Solve for x
    x = 530,519,089/15,345
  6. Step 6: Final answer
    x = 34,572.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.