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Finding the Third Proportional to 30,516 and 44,784

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Solution

The third proportional to 30,516 and 44,784 is: 65,723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,516 : 44,784 = 44,784 : x
  2. Step 2: Convert to fraction form
    30,516/44,784 = 44,784/x
  3. Step 3: Cross multiply
    30,516x = 44,784 × 44,784
  4. Step 4: Simplify right side
    30,516x = 2,005,606,656
  5. Step 5: Solve for x
    x = 2,005,606,656/30,516
  6. Step 6: Final answer
    x = 65,723.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.