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Finding the Third Proportional to 21,256.50 and 31,237.50

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Solution

The third proportional to 21,256.50 and 31,237.50 is: 45,905.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,256.50 : 31,237.50 = 31,237.50 : x
  2. Step 2: Convert to fraction form
    21,256.50/31,237.50 = 31,237.50/x
  3. Step 3: Cross multiply
    21,256.50x = 31,237.50 × 31,237.50
  4. Step 4: Simplify right side
    21,256.50x = 975,781,406.25
  5. Step 5: Solve for x
    x = 975,781,406.25/21,256.50
  6. Step 6: Final answer
    x = 45,905.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.