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Finding the Third Proportional to 29,352 and 42,061.50

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Solution

The third proportional to 29,352 and 42,061.50 is: 60,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,352 : 42,061.50 = 42,061.50 : x
  2. Step 2: Convert to fraction form
    29,352/42,061.50 = 42,061.50/x
  3. Step 3: Cross multiply
    29,352x = 42,061.50 × 42,061.50
  4. Step 4: Simplify right side
    29,352x = 1,769,169,782.25
  5. Step 5: Solve for x
    x = 1,769,169,782.25/29,352
  6. Step 6: Final answer
    x = 60,274.25

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.