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Finding the Third Proportional to 30,061.76 and 64,324.76

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Solution

The third proportional to 30,061.76 and 64,324.76 is: 137,639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,061.76 : 64,324.76 = 64,324.76 : x
  2. Step 2: Convert to fraction form
    30,061.76/64,324.76 = 64,324.76/x
  3. Step 3: Cross multiply
    30,061.76x = 64,324.76 × 64,324.76
  4. Step 4: Simplify right side
    30,061.76x = 4,137,674,467.64
  5. Step 5: Solve for x
    x = 4,137,674,467.64/30,061.76
  6. Step 6: Final answer
    x = 137,639.14

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.