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Finding the Third Proportional to 30,113.16 and 64,851.19

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Solution

The third proportional to 30,113.16 and 64,851.19 is: 139,662.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,113.16 : 64,851.19 = 64,851.19 : x
  2. Step 2: Convert to fraction form
    30,113.16/64,851.19 = 64,851.19/x
  3. Step 3: Cross multiply
    30,113.16x = 64,851.19 × 64,851.19
  4. Step 4: Simplify right side
    30,113.16x = 4,205,676,520.16
  5. Step 5: Solve for x
    x = 4,205,676,520.16/30,113.16
  6. Step 6: Final answer
    x = 139,662.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.