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Finding the Third Proportional to 21,123.50 and 45,366.50

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Solution

The third proportional to 21,123.50 and 45,366.50 is: 97,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,123.50 : 45,366.50 = 45,366.50 : x
  2. Step 2: Convert to fraction form
    21,123.50/45,366.50 = 45,366.50/x
  3. Step 3: Cross multiply
    21,123.50x = 45,366.50 × 45,366.50
  4. Step 4: Simplify right side
    21,123.50x = 2,058,119,322.25
  5. Step 5: Solve for x
    x = 2,058,119,322.25/21,123.50
  6. Step 6: Final answer
    x = 97,432.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.