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Finding the Third Proportional to 41,553 and 63,946.13

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Solution

The third proportional to 41,553 and 63,946.13 is: 98,407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,553 : 63,946.13 = 63,946.13 : x
  2. Step 2: Convert to fraction form
    41,553/63,946.13 = 63,946.13/x
  3. Step 3: Cross multiply
    41,553x = 63,946.13 × 63,946.13
  4. Step 4: Simplify right side
    41,553x = 4,089,106,902.52
  5. Step 5: Solve for x
    x = 4,089,106,902.52/41,553
  6. Step 6: Final answer
    x = 98,407.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.