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Finding the Third Proportional to 29,514 and 63,946

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Solution

The third proportional to 29,514 and 63,946 is: 138,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,514 : 63,946 = 63,946 : x
  2. Step 2: Convert to fraction form
    29,514/63,946 = 63,946/x
  3. Step 3: Cross multiply
    29,514x = 63,946 × 63,946
  4. Step 4: Simplify right side
    29,514x = 4,089,090,916
  5. Step 5: Solve for x
    x = 4,089,090,916/29,514
  6. Step 6: Final answer
    x = 138,547.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.