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Finding the Third Proportional to 21,530.50 and 46,175.50

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Solution

The third proportional to 21,530.50 and 46,175.50 is: 99,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.50 : 46,175.50 = 46,175.50 : x
  2. Step 2: Convert to fraction form
    21,530.50/46,175.50 = 46,175.50/x
  3. Step 3: Cross multiply
    21,530.50x = 46,175.50 × 46,175.50
  4. Step 4: Simplify right side
    21,530.50x = 2,132,176,800.25
  5. Step 5: Solve for x
    x = 2,132,176,800.25/21,530.50
  6. Step 6: Final answer
    x = 99,030.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.