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Finding the Third Proportional to 15,617 and 31,812.50

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Solution

The third proportional to 15,617 and 31,812.50 is: 64,803.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,617 : 31,812.50 = 31,812.50 : x
  2. Step 2: Convert to fraction form
    15,617/31,812.50 = 31,812.50/x
  3. Step 3: Cross multiply
    15,617x = 31,812.50 × 31,812.50
  4. Step 4: Simplify right side
    15,617x = 1,012,035,156.25
  5. Step 5: Solve for x
    x = 1,012,035,156.25/15,617
  6. Step 6: Final answer
    x = 64,803.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.