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Finding the Third Proportional to 15,257.50 and 23,101.50

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Solution

The third proportional to 15,257.50 and 23,101.50 is: 34,978.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,257.50 : 23,101.50 = 23,101.50 : x
  2. Step 2: Convert to fraction form
    15,257.50/23,101.50 = 23,101.50/x
  3. Step 3: Cross multiply
    15,257.50x = 23,101.50 × 23,101.50
  4. Step 4: Simplify right side
    15,257.50x = 533,679,302.25
  5. Step 5: Solve for x
    x = 533,679,302.25/15,257.50
  6. Step 6: Final answer
    x = 34,978.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.