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Finding the Third Proportional to 28,407 and 59,753

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Solution

The third proportional to 28,407 and 59,753 is: 125,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,407 : 59,753 = 59,753 : x
  2. Step 2: Convert to fraction form
    28,407/59,753 = 59,753/x
  3. Step 3: Cross multiply
    28,407x = 59,753 × 59,753
  4. Step 4: Simplify right side
    28,407x = 3,570,421,009
  5. Step 5: Solve for x
    x = 3,570,421,009/28,407
  6. Step 6: Final answer
    x = 125,688.07

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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.