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Finding the Third Proportional to 19,700 and 42,681.50

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Solution

The third proportional to 19,700 and 42,681.50 is: 92,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700 : 42,681.50 = 42,681.50 : x
  2. Step 2: Convert to fraction form
    19,700/42,681.50 = 42,681.50/x
  3. Step 3: Cross multiply
    19,700x = 42,681.50 × 42,681.50
  4. Step 4: Simplify right side
    19,700x = 1,821,710,442.25
  5. Step 5: Solve for x
    x = 1,821,710,442.25/19,700
  6. Step 6: Final answer
    x = 92,472.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.