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Finding the Third Proportional to 30,111.75 and 64,803.38

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Solution

The third proportional to 30,111.75 and 64,803.38 is: 139,463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,111.75 : 64,803.38 = 64,803.38 : x
  2. Step 2: Convert to fraction form
    30,111.75/64,803.38 = 64,803.38/x
  3. Step 3: Cross multiply
    30,111.75x = 64,803.38 × 64,803.38
  4. Step 4: Simplify right side
    30,111.75x = 4,199,477,411.39
  5. Step 5: Solve for x
    x = 4,199,477,411.39/30,111.75
  6. Step 6: Final answer
    x = 139,463.08

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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.