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Finding the Third Proportional to 40,567.50 and 59,281.88

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Solution

The third proportional to 40,567.50 and 59,281.88 is: 86,629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,567.50 : 59,281.88 = 59,281.88 : x
  2. Step 2: Convert to fraction form
    40,567.50/59,281.88 = 59,281.88/x
  3. Step 3: Cross multiply
    40,567.50x = 59,281.88 × 59,281.88
  4. Step 4: Simplify right side
    40,567.50x = 3,514,340,703.52
  5. Step 5: Solve for x
    x = 3,514,340,703.52/40,567.50
  6. Step 6: Final answer
    x = 86,629.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.