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Finding the Third Proportional to 28,946 and 42,603

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Solution

The third proportional to 28,946 and 42,603 is: 62,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,946 : 42,603 = 42,603 : x
  2. Step 2: Convert to fraction form
    28,946/42,603 = 42,603/x
  3. Step 3: Cross multiply
    28,946x = 42,603 × 42,603
  4. Step 4: Simplify right side
    28,946x = 1,815,015,609
  5. Step 5: Solve for x
    x = 1,815,015,609/28,946
  6. Step 6: Final answer
    x = 62,703.50

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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.