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Finding the Third Proportional to 28,582 and 60,619

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Solution

The third proportional to 28,582 and 60,619 is: 128,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,582 : 60,619 = 60,619 : x
  2. Step 2: Convert to fraction form
    28,582/60,619 = 60,619/x
  3. Step 3: Cross multiply
    28,582x = 60,619 × 60,619
  4. Step 4: Simplify right side
    28,582x = 3,674,663,161
  5. Step 5: Solve for x
    x = 3,674,663,161/28,582
  6. Step 6: Final answer
    x = 128,565.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.