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Finding the Third Proportional to 45,875.50 and 67,043

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Solution

The third proportional to 45,875.50 and 67,043 is: 97,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,875.50 : 67,043 = 67,043 : x
  2. Step 2: Convert to fraction form
    45,875.50/67,043 = 67,043/x
  3. Step 3: Cross multiply
    45,875.50x = 67,043 × 67,043
  4. Step 4: Simplify right side
    45,875.50x = 4,494,763,849
  5. Step 5: Solve for x
    x = 4,494,763,849/45,875.50
  6. Step 6: Final answer
    x = 97,977.44

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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.