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Finding the Third Proportional to 42,946 and 64,889

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Solution

The third proportional to 42,946 and 64,889 is: 98,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,946 : 64,889 = 64,889 : x
  2. Step 2: Convert to fraction form
    42,946/64,889 = 64,889/x
  3. Step 3: Cross multiply
    42,946x = 64,889 × 64,889
  4. Step 4: Simplify right side
    42,946x = 4,210,582,321
  5. Step 5: Solve for x
    x = 4,210,582,321/42,946
  6. Step 6: Final answer
    x = 98,043.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.