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Finding the Third Proportional to 37,298 and 56,490

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Solution

The third proportional to 37,298 and 56,490 is: 85,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,298 : 56,490 = 56,490 : x
  2. Step 2: Convert to fraction form
    37,298/56,490 = 56,490/x
  3. Step 3: Cross multiply
    37,298x = 56,490 × 56,490
  4. Step 4: Simplify right side
    37,298x = 3,191,120,100
  5. Step 5: Solve for x
    x = 3,191,120,100/37,298
  6. Step 6: Final answer
    x = 85,557.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.