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Finding the Third Proportional to 32,283 and 49,862

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Solution

The third proportional to 32,283 and 49,862 is: 77,013.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,283 : 49,862 = 49,862 : x
  2. Step 2: Convert to fraction form
    32,283/49,862 = 49,862/x
  3. Step 3: Cross multiply
    32,283x = 49,862 × 49,862
  4. Step 4: Simplify right side
    32,283x = 2,486,219,044
  5. Step 5: Solve for x
    x = 2,486,219,044/32,283
  6. Step 6: Final answer
    x = 77,013.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.