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Finding the Third Proportional to 15,720 and 37,095

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Solution

The third proportional to 15,720 and 37,095 is: 87,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720 : 37,095 = 37,095 : x
  2. Step 2: Convert to fraction form
    15,720/37,095 = 37,095/x
  3. Step 3: Cross multiply
    15,720x = 37,095 × 37,095
  4. Step 4: Simplify right side
    15,720x = 1,376,039,025
  5. Step 5: Solve for x
    x = 1,376,039,025/15,720
  6. Step 6: Final answer
    x = 87,534.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.