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Finding the Third Proportional to 21,124.13 and 45,897.75

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Solution

The third proportional to 21,124.13 and 45,897.75 is: 99,725.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,124.13 : 45,897.75 = 45,897.75 : x
  2. Step 2: Convert to fraction form
    21,124.13/45,897.75 = 45,897.75/x
  3. Step 3: Cross multiply
    21,124.13x = 45,897.75 × 45,897.75
  4. Step 4: Simplify right side
    21,124.13x = 2,106,603,455.06
  5. Step 5: Solve for x
    x = 2,106,603,455.06/21,124.13
  6. Step 6: Final answer
    x = 99,725.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.