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Finding the Third Proportional to 46,188 and 67,636.50

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Solution

The third proportional to 46,188 and 67,636.50 is: 99,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,188 : 67,636.50 = 67,636.50 : x
  2. Step 2: Convert to fraction form
    46,188/67,636.50 = 67,636.50/x
  3. Step 3: Cross multiply
    46,188x = 67,636.50 × 67,636.50
  4. Step 4: Simplify right side
    46,188x = 4,574,696,132.25
  5. Step 5: Solve for x
    x = 4,574,696,132.25/46,188
  6. Step 6: Final answer
    x = 99,045.12

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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.