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Finding the Third Proportional to 29,088 and 44,946

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Solution

The third proportional to 29,088 and 44,946 is: 69,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,088 : 44,946 = 44,946 : x
  2. Step 2: Convert to fraction form
    29,088/44,946 = 44,946/x
  3. Step 3: Cross multiply
    29,088x = 44,946 × 44,946
  4. Step 4: Simplify right side
    29,088x = 2,020,142,916
  5. Step 5: Solve for x
    x = 2,020,142,916/29,088
  6. Step 6: Final answer
    x = 69,449.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.