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Finding the Third Proportional to 40,816.41 and 63,071.16

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Solution

The third proportional to 40,816.41 and 63,071.16 is: 97,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,816.41 : 63,071.16 = 63,071.16 : x
  2. Step 2: Convert to fraction form
    40,816.41/63,071.16 = 63,071.16/x
  3. Step 3: Cross multiply
    40,816.41x = 63,071.16 × 63,071.16
  4. Step 4: Simplify right side
    40,816.41x = 3,977,970,750.71
  5. Step 5: Solve for x
    x = 3,977,970,750.71/40,816.41
  6. Step 6: Final answer
    x = 97,460.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.