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Finding the Third Proportional to 35,009.63 and 52,284.75

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Solution

The third proportional to 35,009.63 and 52,284.75 is: 78,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,009.63 : 52,284.75 = 52,284.75 : x
  2. Step 2: Convert to fraction form
    35,009.63/52,284.75 = 52,284.75/x
  3. Step 3: Cross multiply
    35,009.63x = 52,284.75 × 52,284.75
  4. Step 4: Simplify right side
    35,009.63x = 2,733,695,082.56
  5. Step 5: Solve for x
    x = 2,733,695,082.56/35,009.63
  6. Step 6: Final answer
    x = 78,084.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.