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Finding the Third Proportional to 46,467 and 75,829.50

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Solution

The third proportional to 46,467 and 75,829.50 is: 123,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,467 : 75,829.50 = 75,829.50 : x
  2. Step 2: Convert to fraction form
    46,467/75,829.50 = 75,829.50/x
  3. Step 3: Cross multiply
    46,467x = 75,829.50 × 75,829.50
  4. Step 4: Simplify right side
    46,467x = 5,750,113,070.25
  5. Step 5: Solve for x
    x = 5,750,113,070.25/46,467
  6. Step 6: Final answer
    x = 123,746.17

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.