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Finding the Third Proportional to 45,875.74 and 69,447.93

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Solution

The third proportional to 45,875.74 and 69,447.93 is: 105,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,875.74 : 69,447.93 = 69,447.93 : x
  2. Step 2: Convert to fraction form
    45,875.74/69,447.93 = 69,447.93/x
  3. Step 3: Cross multiply
    45,875.74x = 69,447.93 × 69,447.93
  4. Step 4: Simplify right side
    45,875.74x = 4,823,014,802.24
  5. Step 5: Solve for x
    x = 4,823,014,802.24/45,875.74
  6. Step 6: Final answer
    x = 105,132.14

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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.