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Finding the Third Proportional to 37,545 and 52,490.25

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Solution

The third proportional to 37,545 and 52,490.25 is: 73,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,545 : 52,490.25 = 52,490.25 : x
  2. Step 2: Convert to fraction form
    37,545/52,490.25 = 52,490.25/x
  3. Step 3: Cross multiply
    37,545x = 52,490.25 × 52,490.25
  4. Step 4: Simplify right side
    37,545x = 2,755,226,345.06
  5. Step 5: Solve for x
    x = 2,755,226,345.06/37,545
  6. Step 6: Final answer
    x = 73,384.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.