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Finding the Third Proportional to 32,312.25 and 67,567.50

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Solution

The third proportional to 32,312.25 and 67,567.50 is: 141,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,312.25 : 67,567.50 = 67,567.50 : x
  2. Step 2: Convert to fraction form
    32,312.25/67,567.50 = 67,567.50/x
  3. Step 3: Cross multiply
    32,312.25x = 67,567.50 × 67,567.50
  4. Step 4: Simplify right side
    32,312.25x = 4,565,367,056.25
  5. Step 5: Solve for x
    x = 4,565,367,056.25/32,312.25
  6. Step 6: Final answer
    x = 141,289.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.