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Finding the Third Proportional to 32,052 and 70,135.50

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Solution

The third proportional to 32,052 and 70,135.50 is: 153,469.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,052 : 70,135.50 = 70,135.50 : x
  2. Step 2: Convert to fraction form
    32,052/70,135.50 = 70,135.50/x
  3. Step 3: Cross multiply
    32,052x = 70,135.50 × 70,135.50
  4. Step 4: Simplify right side
    32,052x = 4,918,988,360.25
  5. Step 5: Solve for x
    x = 4,918,988,360.25/32,052
  6. Step 6: Final answer
    x = 153,469.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.