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Finding the Third Proportional to 15,141 and 21,673.50

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Solution

The third proportional to 15,141 and 21,673.50 is: 31,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141 : 21,673.50 = 21,673.50 : x
  2. Step 2: Convert to fraction form
    15,141/21,673.50 = 21,673.50/x
  3. Step 3: Cross multiply
    15,141x = 21,673.50 × 21,673.50
  4. Step 4: Simplify right side
    15,141x = 469,740,602.25
  5. Step 5: Solve for x
    x = 469,740,602.25/15,141
  6. Step 6: Final answer
    x = 31,024.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.