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Finding the Third Proportional to 28,421 and 59,788

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Solution

The third proportional to 28,421 and 59,788 is: 125,773.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,421 : 59,788 = 59,788 : x
  2. Step 2: Convert to fraction form
    28,421/59,788 = 59,788/x
  3. Step 3: Cross multiply
    28,421x = 59,788 × 59,788
  4. Step 4: Simplify right side
    28,421x = 3,574,604,944
  5. Step 5: Solve for x
    x = 3,574,604,944/28,421
  6. Step 6: Final answer
    x = 125,773.37

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.