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Finding the Third Proportional to 32,252.55 and 47,428.66

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Solution

The third proportional to 32,252.55 and 47,428.66 is: 69,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,252.55 : 47,428.66 = 47,428.66 : x
  2. Step 2: Convert to fraction form
    32,252.55/47,428.66 = 47,428.66/x
  3. Step 3: Cross multiply
    32,252.55x = 47,428.66 × 47,428.66
  4. Step 4: Simplify right side
    32,252.55x = 2,249,478,174.75
  5. Step 5: Solve for x
    x = 2,249,478,174.75/32,252.55
  6. Step 6: Final answer
    x = 69,745.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.