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Finding the Third Proportional to 25,434.75 and 37,417.50

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Solution

The third proportional to 25,434.75 and 37,417.50 is: 55,045.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,434.75 : 37,417.50 = 37,417.50 : x
  2. Step 2: Convert to fraction form
    25,434.75/37,417.50 = 37,417.50/x
  3. Step 3: Cross multiply
    25,434.75x = 37,417.50 × 37,417.50
  4. Step 4: Simplify right side
    25,434.75x = 1,400,069,306.25
  5. Step 5: Solve for x
    x = 1,400,069,306.25/25,434.75
  6. Step 6: Final answer
    x = 55,045.53

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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.