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Finding the Third Proportional to 42,897 and 64,660.50

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Solution

The third proportional to 42,897 and 64,660.50 is: 97,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,897 : 64,660.50 = 64,660.50 : x
  2. Step 2: Convert to fraction form
    42,897/64,660.50 = 64,660.50/x
  3. Step 3: Cross multiply
    42,897x = 64,660.50 × 64,660.50
  4. Step 4: Simplify right side
    42,897x = 4,180,980,260.25
  5. Step 5: Solve for x
    x = 4,180,980,260.25/42,897
  6. Step 6: Final answer
    x = 97,465.56

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