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Finding the Third Proportional to 46,472 and 71,807.50

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Solution

The third proportional to 46,472 and 71,807.50 is: 110,955.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,472 : 71,807.50 = 71,807.50 : x
  2. Step 2: Convert to fraction form
    46,472/71,807.50 = 71,807.50/x
  3. Step 3: Cross multiply
    46,472x = 71,807.50 × 71,807.50
  4. Step 4: Simplify right side
    46,472x = 5,156,317,056.25
  5. Step 5: Solve for x
    x = 5,156,317,056.25/46,472
  6. Step 6: Final answer
    x = 110,955.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.