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Finding the Third Proportional to 28,644 and 45,574

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Solution

The third proportional to 28,644 and 45,574 is: 72,510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,644 : 45,574 = 45,574 : x
  2. Step 2: Convert to fraction form
    28,644/45,574 = 45,574/x
  3. Step 3: Cross multiply
    28,644x = 45,574 × 45,574
  4. Step 4: Simplify right side
    28,644x = 2,076,989,476
  5. Step 5: Solve for x
    x = 2,076,989,476/28,644
  6. Step 6: Final answer
    x = 72,510.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.