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Finding the Third Proportional to 46,006.50 and 61,822.50

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Solution

The third proportional to 46,006.50 and 61,822.50 is: 83,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,006.50 : 61,822.50 = 61,822.50 : x
  2. Step 2: Convert to fraction form
    46,006.50/61,822.50 = 61,822.50/x
  3. Step 3: Cross multiply
    46,006.50x = 61,822.50 × 61,822.50
  4. Step 4: Simplify right side
    46,006.50x = 3,822,021,506.25
  5. Step 5: Solve for x
    x = 3,822,021,506.25/46,006.50
  6. Step 6: Final answer
    x = 83,075.69

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.