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Finding the Third Proportional to 14,572 and 31,946

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Solution

The third proportional to 14,572 and 31,946 is: 70,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,572 : 31,946 = 31,946 : x
  2. Step 2: Convert to fraction form
    14,572/31,946 = 31,946/x
  3. Step 3: Cross multiply
    14,572x = 31,946 × 31,946
  4. Step 4: Simplify right side
    14,572x = 1,020,546,916
  5. Step 5: Solve for x
    x = 1,020,546,916/14,572
  6. Step 6: Final answer
    x = 70,034.79

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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.