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Finding the Third Proportional to 31,239 and 45,562.50

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Solution

The third proportional to 31,239 and 45,562.50 is: 66,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,239 : 45,562.50 = 45,562.50 : x
  2. Step 2: Convert to fraction form
    31,239/45,562.50 = 45,562.50/x
  3. Step 3: Cross multiply
    31,239x = 45,562.50 × 45,562.50
  4. Step 4: Simplify right side
    31,239x = 2,075,941,406.25
  5. Step 5: Solve for x
    x = 2,075,941,406.25/31,239
  6. Step 6: Final answer
    x = 66,453.52

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.