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Finding the Third Proportional to 51,044 and 74,835

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Solution

The third proportional to 51,044 and 74,835 is: 109,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,044 : 74,835 = 74,835 : x
  2. Step 2: Convert to fraction form
    51,044/74,835 = 74,835/x
  3. Step 3: Cross multiply
    51,044x = 74,835 × 74,835
  4. Step 4: Simplify right side
    51,044x = 5,600,277,225
  5. Step 5: Solve for x
    x = 5,600,277,225/51,044
  6. Step 6: Final answer
    x = 109,714.70

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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.