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Finding the Third Proportional to 28,617.47 and 42,098.06

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Solution

The third proportional to 28,617.47 and 42,098.06 is: 61,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,617.47 : 42,098.06 = 42,098.06 : x
  2. Step 2: Convert to fraction form
    28,617.47/42,098.06 = 42,098.06/x
  3. Step 3: Cross multiply
    28,617.47x = 42,098.06 × 42,098.06
  4. Step 4: Simplify right side
    28,617.47x = 1,772,246,866.25
  5. Step 5: Solve for x
    x = 1,772,246,866.25/28,617.47
  6. Step 6: Final answer
    x = 61,928.85

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Why These Related Problems?

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