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Finding the Third Proportional to 15,688 and 19,036

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Solution

The third proportional to 15,688 and 19,036 is: 23,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688 : 19,036 = 19,036 : x
  2. Step 2: Convert to fraction form
    15,688/19,036 = 19,036/x
  3. Step 3: Cross multiply
    15,688x = 19,036 × 19,036
  4. Step 4: Simplify right side
    15,688x = 362,369,296
  5. Step 5: Solve for x
    x = 362,369,296/15,688
  6. Step 6: Final answer
    x = 23,098.50

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.