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Finding the Third Proportional to 28,715 and 42,070

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Solution

The third proportional to 28,715 and 42,070 is: 61,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,715 : 42,070 = 42,070 : x
  2. Step 2: Convert to fraction form
    28,715/42,070 = 42,070/x
  3. Step 3: Cross multiply
    28,715x = 42,070 × 42,070
  4. Step 4: Simplify right side
    28,715x = 1,769,884,900
  5. Step 5: Solve for x
    x = 1,769,884,900/28,715
  6. Step 6: Final answer
    x = 61,636.25

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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.