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Finding the Third Proportional to 37,240 and 56,730

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Solution

The third proportional to 37,240 and 56,730 is: 86,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,240 : 56,730 = 56,730 : x
  2. Step 2: Convert to fraction form
    37,240/56,730 = 56,730/x
  3. Step 3: Cross multiply
    37,240x = 56,730 × 56,730
  4. Step 4: Simplify right side
    37,240x = 3,218,292,900
  5. Step 5: Solve for x
    x = 3,218,292,900/37,240
  6. Step 6: Final answer
    x = 86,420.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.