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Finding the Third Proportional to 34,875.56 and 49,820.06

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Solution

The third proportional to 34,875.56 and 49,820.06 is: 71,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,875.56 : 49,820.06 = 49,820.06 : x
  2. Step 2: Convert to fraction form
    34,875.56/49,820.06 = 49,820.06/x
  3. Step 3: Cross multiply
    34,875.56x = 49,820.06 × 49,820.06
  4. Step 4: Simplify right side
    34,875.56x = 2,482,038,627.50
  5. Step 5: Solve for x
    x = 2,482,038,627.50/34,875.56
  6. Step 6: Final answer
    x = 71,168.42

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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.