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Finding the Third Proportional to 41,480 and 63,948

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Solution

The third proportional to 41,480 and 63,948 is: 98,585.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,480 : 63,948 = 63,948 : x
  2. Step 2: Convert to fraction form
    41,480/63,948 = 63,948/x
  3. Step 3: Cross multiply
    41,480x = 63,948 × 63,948
  4. Step 4: Simplify right side
    41,480x = 4,089,346,704
  5. Step 5: Solve for x
    x = 4,089,346,704/41,480
  6. Step 6: Final answer
    x = 98,585.99

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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.