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Finding the Third Proportional to 31,356 and 46,030.50

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Solution

The third proportional to 31,356 and 46,030.50 is: 67,572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,356 : 46,030.50 = 46,030.50 : x
  2. Step 2: Convert to fraction form
    31,356/46,030.50 = 46,030.50/x
  3. Step 3: Cross multiply
    31,356x = 46,030.50 × 46,030.50
  4. Step 4: Simplify right side
    31,356x = 2,118,806,930.25
  5. Step 5: Solve for x
    x = 2,118,806,930.25/31,356
  6. Step 6: Final answer
    x = 67,572.62

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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.