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Finding the Third Proportional to 40,815 and 63,070

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Solution

The third proportional to 40,815 and 63,070 is: 97,459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,815 : 63,070 = 63,070 : x
  2. Step 2: Convert to fraction form
    40,815/63,070 = 63,070/x
  3. Step 3: Cross multiply
    40,815x = 63,070 × 63,070
  4. Step 4: Simplify right side
    40,815x = 3,977,824,900
  5. Step 5: Solve for x
    x = 3,977,824,900/40,815
  6. Step 6: Final answer
    x = 97,459.88

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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.