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Finding the Third Proportional to 44,004 and 59,784

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Solution

The third proportional to 44,004 and 59,784 is: 81,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,004 : 59,784 = 59,784 : x
  2. Step 2: Convert to fraction form
    44,004/59,784 = 59,784/x
  3. Step 3: Cross multiply
    44,004x = 59,784 × 59,784
  4. Step 4: Simplify right side
    44,004x = 3,574,126,656
  5. Step 5: Solve for x
    x = 3,574,126,656/44,004
  6. Step 6: Final answer
    x = 81,222.77

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.