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Finding the Third Proportional to 42,410 and 62,319

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Solution

The third proportional to 42,410 and 62,319 is: 91,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,410 : 62,319 = 62,319 : x
  2. Step 2: Convert to fraction form
    42,410/62,319 = 62,319/x
  3. Step 3: Cross multiply
    42,410x = 62,319 × 62,319
  4. Step 4: Simplify right side
    42,410x = 3,883,657,761
  5. Step 5: Solve for x
    x = 3,883,657,761/42,410
  6. Step 6: Final answer
    x = 91,574.10

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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.