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Finding the Third Proportional to 21,237.19 and 46,289.81

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Solution

The third proportional to 21,237.19 and 46,289.81 is: 100,895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,237.19 : 46,289.81 = 46,289.81 : x
  2. Step 2: Convert to fraction form
    21,237.19/46,289.81 = 46,289.81/x
  3. Step 3: Cross multiply
    21,237.19x = 46,289.81 × 46,289.81
  4. Step 4: Simplify right side
    21,237.19x = 2,142,746,741.29
  5. Step 5: Solve for x
    x = 2,142,746,741.29/21,237.19
  6. Step 6: Final answer
    x = 100,895.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.