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Finding the Third Proportional to 32,989 and 53,218.50

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Solution

The third proportional to 32,989 and 53,218.50 is: 85,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,989 : 53,218.50 = 53,218.50 : x
  2. Step 2: Convert to fraction form
    32,989/53,218.50 = 53,218.50/x
  3. Step 3: Cross multiply
    32,989x = 53,218.50 × 53,218.50
  4. Step 4: Simplify right side
    32,989x = 2,832,208,742.25
  5. Step 5: Solve for x
    x = 2,832,208,742.25/32,989
  6. Step 6: Final answer
    x = 85,853.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.