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Finding the Third Proportional to 41,449 and 63,746.50

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Solution

The third proportional to 41,449 and 63,746.50 is: 98,038.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,449 : 63,746.50 = 63,746.50 : x
  2. Step 2: Convert to fraction form
    41,449/63,746.50 = 63,746.50/x
  3. Step 3: Cross multiply
    41,449x = 63,746.50 × 63,746.50
  4. Step 4: Simplify right side
    41,449x = 4,063,616,262.25
  5. Step 5: Solve for x
    x = 4,063,616,262.25/41,449
  6. Step 6: Final answer
    x = 98,038.95

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