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Finding the Third Proportional to 21,041.25 and 46,106.63

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Solution

The third proportional to 21,041.25 and 46,106.63 is: 101,031.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,041.25 : 46,106.63 = 46,106.63 : x
  2. Step 2: Convert to fraction form
    21,041.25/46,106.63 = 46,106.63/x
  3. Step 3: Cross multiply
    21,041.25x = 46,106.63 × 46,106.63
  4. Step 4: Simplify right side
    21,041.25x = 2,125,820,868.89
  5. Step 5: Solve for x
    x = 2,125,820,868.89/21,041.25
  6. Step 6: Final answer
    x = 101,031.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.