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Finding the Third Proportional to 14,856.75 and 25,277.06

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Solution

The third proportional to 14,856.75 and 25,277.06 is: 43,006.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856.75 : 25,277.06 = 25,277.06 : x
  2. Step 2: Convert to fraction form
    14,856.75/25,277.06 = 25,277.06/x
  3. Step 3: Cross multiply
    14,856.75x = 25,277.06 × 25,277.06
  4. Step 4: Simplify right side
    14,856.75x = 638,929,888.63
  5. Step 5: Solve for x
    x = 638,929,888.63/14,856.75
  6. Step 6: Final answer
    x = 43,006.03

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.