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Finding the Third Proportional to 28,901 and 42,417.50

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Solution

The third proportional to 28,901 and 42,417.50 is: 62,255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,901 : 42,417.50 = 42,417.50 : x
  2. Step 2: Convert to fraction form
    28,901/42,417.50 = 42,417.50/x
  3. Step 3: Cross multiply
    28,901x = 42,417.50 × 42,417.50
  4. Step 4: Simplify right side
    28,901x = 1,799,244,306.25
  5. Step 5: Solve for x
    x = 1,799,244,306.25/28,901
  6. Step 6: Final answer
    x = 62,255.43

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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.