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Finding the Third Proportional to 28,710 and 42,122

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Solution

The third proportional to 28,710 and 42,122 is: 61,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,710 : 42,122 = 42,122 : x
  2. Step 2: Convert to fraction form
    28,710/42,122 = 42,122/x
  3. Step 3: Cross multiply
    28,710x = 42,122 × 42,122
  4. Step 4: Simplify right side
    28,710x = 1,774,262,884
  5. Step 5: Solve for x
    x = 1,774,262,884/28,710
  6. Step 6: Final answer
    x = 61,799.47

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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.