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Finding the Third Proportional to 31,088.81 and 46,868.63

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Solution

The third proportional to 31,088.81 and 46,868.63 is: 70,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,088.81 : 46,868.63 = 46,868.63 : x
  2. Step 2: Convert to fraction form
    31,088.81/46,868.63 = 46,868.63/x
  3. Step 3: Cross multiply
    31,088.81x = 46,868.63 × 46,868.63
  4. Step 4: Simplify right side
    31,088.81x = 2,196,668,009.39
  5. Step 5: Solve for x
    x = 2,196,668,009.39/31,088.81
  6. Step 6: Final answer
    x = 70,657.83

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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.